salim-barzani

How find parameters of with two indepen...

Asked: salim-barzani 1640 Product: Maple 2024

January 23 2025

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

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(2*k[1]*n[1]+2*k[2]*n[2])*((t*n[1]+x*k[1])^2+(t*n[2]+x*k[2])^2+a[0])+3*(2*k[1]^2+2*k[2]^2)^2-(2*(t*n[1]+x*k[1])*k[1]+2*(t*n[2]+x*k[2])*k[2])*(2*(t*n[1]+x*k[1])*n[1]+2*(t*n[2]+x*k[2])*n[2]) = 0

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((2*k[1]*n[1]+2*k[2]*n[2])*(k[1]^2+k[2]^2)-(2*k[1]^2+2*k[2]^2)*(2*k[1]*n[1]+2*k[2]*n[2]))*x^2-(2*k[1]^2+2*k[2]^2)*(2*n[1]^2+2*n[2]^2)*x*t+((2*k[1]*n[1]+2*k[2]*n[2])*(n[1]^2+n[2]^2)-(2*k[1]*n[1]+2*k[2]*n[2])*(2*n[1]^2+2*n[2]^2))*t^2+(2*k[1]*n[1]+2*k[2]*n[2])*a[0]+3*(2*k[1]^2+2*k[2]^2)^2 = 0

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Error, invalid arguments to coeffs

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Download F-params.mw

why it give me nothing in command solve?...

Asked: salim-barzani 1640 Product: Maple 2024

January 21 2025

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there is must be a problem but i didn't figure out ? in this command didn't give me my parameter why?
vars1 := indets(eqs1);
ans := solve(eqs1, {a[0], a[1], a[2], a[3], a[4], e[1], k[1], n[1], p[1]});

parameter.mw

How do polarplot ?...

Asked: salim-barzani 1640 Product: Maple 2024

January 20 2025

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Warning, A new binding for the name `gamma` has been created. The global instance of this name is still accessible using the :- prefix, :-`gamma`. See ?protect for details.

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sol3 := sqrt(2)*sqrt(-tau*gamma)*tanh(x-tau*t^alpha/alpha)*exp(I*gamma*(x+((2*gamma^3*tau-4*gamma*tau+8*tau^2)/(2*gamma^2)-tau*gamma)*t^alpha/((gamma-2*tau)*alpha)))/gamma

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{alpha, gamma, t, tau, x}

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>	P := [ alpha=1, gamma=-2, tau=3]

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polar(2^(1/2)*abs(tau*gamma)^(1/2)*exp(-Im(gamma*(x+((1/2)*(2*gamma^3*tau-4*gamma*tau+8*tau^2)/gamma^2-tau*gamma)*t^alpha/((gamma-2*tau)*alpha))))*abs(tanh(x-tau*t^alpha/alpha)/gamma), argument((-tau*gamma)^(1/2)*tanh(x-tau*t^alpha/alpha)*exp(I*gamma*(x+((1/2)*(2*gamma^3*tau-4*gamma*tau+8*tau^2)/gamma^2-tau*gamma)*t^alpha/((gamma-2*tau)*alpha)))/gamma))

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Download polar.mw

How find parameter in equation involving...

Asked: salim-barzani 1640 Product: Maple 2024

January 20 2025

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How i can find parameter after substitution in our pde

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

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%/exp(t*n[1]+x*k[1])

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${a[0] = a[0], a[1] = a[1], k[1] = k[1], n[1] = -k[1]^3}, {a[0] = a[0], a[1] = a[1], k[1] = 0, n[1] = n[1]}, {a[0] = a[0], a[1] = 0, k[1] = k[1], n[1] = n[1]}, {a[0] = 0, a[1] = a[1], k[1] = k[1], n[1] = n[1]}$

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${a[0] = a[0], a[1] = a[1], k[1] = k[1], n[1] = -k[1]^3}$

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u(x, t) = 2*a[1]*k[1]^2*exp(-t*k[1]^3+x*k[1])/(a[0]+a[1]*exp(-t*k[1]^3+x*k[1]))-2*a[1]^2*k[1]^2*(exp(-t*k[1]^3+x*k[1]))^2/(a[0]+a[1]*exp(-t*k[1]^3+x*k[1]))^2

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Error, invalid input: exp expects its 1st argument, x, to be of type algebraic, but received u(x,t) = 2*diff(diff(f(x,t),x),x)/f(x,t)-2*diff(f(x,t),x)^2/f(x,t)^2

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S3 := f(x, t) = a[0]+sum(exp(t*n[i]+x*k[i]), i = 1 .. 3)+a[1]*exp(t*n[1]+t*n[2]+x*k[1]+x*k[2])+a[2]*exp(t*n[1]+t*n[3]+x*k[1]+x*k[3])+a[3]*exp(t*n[2]+t*n[3]+x*k[2]+x*k[3])+a[4]*exp(t*n[1]+t*n[2]+t*n[3]+x*k[1]+x*k[2]+x*k[3])

f(x, t) = a[0]+exp(t*n[1]+x*k[1])+exp(t*n[2]+x*k[2])+exp(t*n[3]+x*k[3])+a[1]*exp(t*n[1]+t*n[2]+x*k[1]+x*k[2])+a[2]*exp(t*n[1]+t*n[3]+x*k[1]+x*k[3])+a[3]*exp(t*n[2]+t*n[3]+x*k[2]+x*k[3])+a[4]*exp(t*n[1]+t*n[2]+t*n[3]+x*k[1]+x*k[2]+x*k[3])

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Download N-soliton.mw

How find parameters in in equation invol...

Asked: salim-barzani 1640 Product: Maple

January 19 2025

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the most paper use another function to get the result and then do substitute i try to get by the way of them but i fail so how about if we can get the results in direct function there is any way for finding thus parameter after substitution of our function in ode?

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