salim-barzani

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1 years, 16 days

MaplePrimes Activity


These are replies submitted by salim-barzani

@mmcdara  is seems is so good your code you give it range and i don't know why not apply and give me error when i transfer latex code but the issue is like that

also the code of @accer is work but th equation  must have the similar factor then it work but if this is work it will be so emazing i did this mistake in my paper at least 8 of them have same issue and editor of journal IF 5.4 give me reject becuase of that
By your code i get the whole idea of Hirota bilinear i work on it to get better then i will write some extra notation if help me  it will be emazing becuase i get full notion of hirota right now, by your coding i can finish hirota.

@janhardo  i am searching on anything to get my answer i hope someone answer otherwise i will post another question

@janhardo we need find bilinear form of the PDE after substitution i need bilinear form after get bilinear form we can get the same results

@janhardo is all about techniques we don't reach out yet really is not simple i can't go further i need solve issues and issues is just come ups more and more in all topic i am stuck

@janhardo  @dharr is answer this but is not same result i am intrested about How we get the same result as in paper did


restart

with(PDEtools)

with(LinearAlgebra)

NULL

with(SolveTools)

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

I have changed a and b to A and B, because if you are going to set a value for a[1] then a becomes a table and should not be used as a separate variable. You might get away with it but it is bad practice.
I'm going to stop using the =0 on the rhs, because it simplifies many of the manipulations required.

pde := diff(w(x, t), `$`(t, 2))-(diff(w(x, t), `$`(x, 2)))+A*(diff(w(x, t), `$`(x, 4)))-B*(diff(w(x, t), `$`(x, 2), `$`(t, 2)))+(diff(w(x, t), t))*(diff(w(x, t), `$`(x, 2)))+2*(diff(w(x, t), x))*(diff(w(x, t), x, t))

diff(diff(w(x, t), t), t)-(diff(diff(w(x, t), x), x))+A*(diff(diff(diff(diff(w(x, t), x), x), x), x))-B*(diff(diff(diff(diff(w(x, t), t), t), x), x))+(diff(w(x, t), t))*(diff(diff(w(x, t), x), x))+2*(diff(w(x, t), x))*(diff(diff(w(x, t), t), x))

(2)

Y := w(x, t) = 2*(diff(ln(f(x, t)), `$`(x, 2)))

w(x, t) = 2*(diff(diff(f(x, t), x), x))/f(x, t)-2*(diff(f(x, t), x))^2/f(x, t)^2

(3)

L := eval(pde, Y)

2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)+8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3+6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2+12*(diff(f(x, t), x))^4/f(x, t)^4+A*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-B*(-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4)

(4)

L1 := (-numer(normal(L)))*(1/2)

15*A*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+6*A*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))-30*A*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+270*A*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2+120*A*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-360*A*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4-6*B*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^5*(diff(diff(f(x, t), x), x))+12*B*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^4*(diff(f(x, t), x))^2-2*B*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))-B*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-8*B*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-4*B*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))-4*B*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))+2*B*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+6*B*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))+24*B*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2-18*B*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2-72*B*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2-24*B*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))+24*B*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4-120*B*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4+20*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))+2*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-8*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4+12*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))+12*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+4*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-60*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2-4*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))-48*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))-40*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))+108*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2+48*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))+144*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3-180*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4-120*A*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))+24*B*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))+48*B*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+16*B*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))+16*B*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+24*B*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))+8*B*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-72*B*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2-24*B*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-36*B*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2+144*B*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+192*B*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3-44*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-144*B*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))-(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6+(diff(diff(diff(diff(f(x, t), x), x), x), x))*f(x, t)^6-3*(diff(diff(f(x, t), x), x))^2*f(x, t)^5+2*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-6*(diff(f(x, t), x))^4*f(x, t)^3+72*(diff(f(x, t), t))*(diff(f(x, t), x))^6-A*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))+10*A*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2-30*A*f(x, t)^4*(diff(diff(f(x, t), x), x))^3+120*A*f(x, t)*(diff(f(x, t), x))^6+B*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))-6*B*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2+2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5-2*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5+2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5-4*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*f(x, t)^5-4*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+6*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4+4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*f(x, t)^4-2*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4+6*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3-6*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3-8*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4-72*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5

(5)

T := f(x, t) = P[1]^2+P[2]^2+a[7]

T1 := P[1] = t*a[2]+x*a[1]+a[3]

T2 := P[2] = t*a[5]+x*a[4]+a[6]

L2 := subs({T1, T2}, T)

f(x, t) = (t*a[2]+x*a[1]+a[3])^2+(t*a[5]+x*a[4]+a[6])^2+a[7]

(6)

a[1] := 0; a[6] := 0

0

 

0

(7)

L3 := eval(L1, L2)

4608*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*a[4]^6*a[5]*(t*a[5]+x*a[4])^3-5760*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*a[4]^6*(t*a[5]+x*a[4])^4+7680*A*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])*(t*a[5]+x*a[4])^6*a[4]^6-8*(t*a[5]+x*a[4])^2*a[4]^2*(2*a[2]^2+2*a[5]^2)*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4+24*(t*a[5]+x*a[4])^2*a[4]^2*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])^2*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3-4608*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])*a[4]^6*a[5]*(t*a[5]+x*a[4])^5-288*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*a[4]^4*(2*a[2]^2+2*a[5]^2)*(t*a[5]+x*a[4])^2+1152*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])^2*a[4]^4*(t*a[5]+x*a[4])^2+8*a[4]^2*a[5]^2*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^5-96*(t*a[5]+x*a[4])^4*a[4]^4*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3+4608*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*(t*a[5]+x*a[4])^6*a[4]^6-240*A*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4*a[4]^6+2*a[4]^2*(2*a[2]^2+2*a[5]^2)*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^5-4*a[4]^2*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])^2*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4+96*a[4]^4*(t*a[5]+x*a[4])^2*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4-48*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*a[4]^6-12*a[4]^4*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^5-1152*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*a[4]^4*a[5]^2*(t*a[5]+x*a[4])^2-32*(t*a[5]+x*a[4])*a[4]^2*a[5]*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4+384*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*(2*a[2]^2+2*a[5]^2)*(t*a[5]+x*a[4])^4*a[4]^4-1920*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])^2*(t*a[5]+x*a[4])^4*a[4]^4+4320*A*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*a[4]^6*(t*a[5]+x*a[4])^2-11520*A*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*a[4]^6*(t*a[5]+x*a[4])^4+24*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4*a[4]^4*(2*a[2]^2+2*a[5]^2)+192*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^4*a[4]^4*a[5]^2-72*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])^2*a[4]^4-768*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*a[4]^6*a[5]*(t*a[5]+x*a[4])+1728*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*a[4]^6*(t*a[5]+x*a[4])^2+3072*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^2*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*a[4]^4*a[5]*(t*a[5]+x*a[4])^3-1152*B*((t*a[2]+a[3])^2+(t*a[5]+x*a[4])^2+a[7])^3*(2*(t*a[2]+a[3])*a[2]+2*(t*a[5]+x*a[4])*a[5])*a[4]^4*a[5]*(t*a[5]+x*a[4])

(8)

L4 := collect(L3, [x, t], 'distributed')

eqs := {coeffs(L4, [x, t])}; vars := `minus`(indets(eqs), {A, B})

{a[2], a[3], a[4], a[5], a[7]}

(9)

solve(eqs, vars)

{a[2] = a[2], a[3] = a[3], a[4] = 0, a[5] = a[5], a[7] = a[7]}

(10)
 

 

Download params2(1).mw

@Scot Gould visualization is emazing and your stracture too, but problem is w(t) is wiener process which make my function have a noise in 3D plot maccdara write a function w(t) he have a good information about wiener process but didn't share i don't get my result  becuase the information we could not merge information to build plot and make a visualization like you did in here also How i can transfer this plot for matlab i will upload macdara function w(t) maybe you can construct better graph-stochastic_mmcdara(1).mw

@acer it will be fixed if we tell maple for example in one line is how many Cm make paranthesis if factoring exist this is i think only way

@acer let me show you something which is my fear in writing becuase this issue i make expand all my equation and this is problem for editor which can read well my openion  is ok and done have problem but in latex we have problem we can't cut the parantheses in two line is not going to sencond line when we have paranthesis it go to second line if we don't have paranthesis like below i don't know how  make them smaller with small paranthesis at least

@acer is not about B[1] and B[2] i want my equations be smaller and also i have more than 80 equation in my article do you want  I  apply this code to all of them is equations, so hard there is any other trick?

i want factoring every thing which conclude in two term or three term like that will be smaller like factoring everything

@acer i need that reduce the size of the expression as editor mentioned i want fixed that, my work is with maple and i have this probelem thay say no one do that in paper.

@mmcdara is not doing i read all at there just talk about import, why not write the code if that is so easy

@mmcdara i want to do samething different , i need some information about each part of wiener process in your code each part do what? also there is any way to combine your winer process with my second part for making and construct best plot?
 

@mmcdara this is exactly i am looking for but still i have some problem i want transfer this to matlab to get the better view but i don't know how do you have any idea?  i want transfer my function to plot there

@mmcdara  I’m stuck and unsure whether I should replace something in my function with a parameter or another function. What do you think would be the best approach for plotting such a graph? In the paper, the author only shows the plot without explaining the details. I solved the problem using a different method, but I’m unsure how to incorporate the Wiener process into my function. Any suggestions?

@dharr "Dear Dr., you have a much deeper understanding of the topic than I do, and you know how to manage it effectively. I truly admire your expertise. I need to explore other solutions, but I’m sure I will need your help again as you grasp the nuances of the topic so well.

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