## 35 Reputation

3 years, 250 days

## get the numerator of the fraction...

Do you mean that the equation should be in the following formula?
Bilinear(diff(u(x, t), t)+6*u(x, t)*(diff(u(x, t), x))+diff(u(x, t), x\$3), ln(f), f(x, t), x, 1)
I may have incorrectly set the parameters
Can you run the program in relation to the first example given in the attached article?
##################
It is to get the numerator of the fraction that is denominated by f after replacing u = 2*alpha*('diff')(ln(f), x\$j), in the equation

Perhaps you could see the attached article

## Kdv hirota...

I am trying to apply the method mentioned in the attached article
Is what I did right?

## How can we do it through differential ex...

Thank you very much for these very valuable details.
About your question "if this is the determining system of a PDE problem you " ? Yes its for determining system of Gardner equation
pde := diff(u(t, x), t)+A(t)*u(t, x)^n.(diff(u(t, x), x))+B(t).(diff(u(t, x), x, x, x))+F(t)*u(t, x) = 0;

I try to do it the other way but I didn't succeed
How can we do it through use of something called a 'differential extension'.

## But the result is very complex...

@one man But the result is still very complex

## But the result is very complex...

@dharr But the result is very complex

## the result is l very complex...

 >
 >
 (1)
 >
 (2)
 >
 (3)
 > 1
 (4)
 >

The result I get is very complex
Is there a way to simplify this result as simple as possible
I tried to use "simplify" But the result is still very complex