Recent content by frank2243

For p, is it correct to integrate from 0 to p? at least it works that way...

I think I got something... A(p=0) is going to be equal to the amplitude of the solution so 3c => arctanh(0)=0

I am sure what to do next about the right term. It should be equal to zero. The integral is equal to p which was integrated from 0 to p.

I will as soon as we are all going to be fixed about that integral. I use SCILAB to modelize it using different initial conditions.

There must be something wrong with the integration limits...

Thank you. I arrived at that with regular substitution. However, I have integration limits problem as I have to integrate from 0 to A. When I evaluate at 0, the arctanh gives infinite... which doesn't help me.

Ok I will look at a book on integrals. As you, I come up to the conclusion it is only about spotting an identity. If I find one, I will inform you. Thanks for your help.

Yes I know that the substitution works... I succeded to demonstrate the solution. What I want to know is where the substitution comes from. How by looking at the integral do you come at the conclusion that you have to substitute A by a sech2(w). Have you ever seen a table that propose that type...

Yes I succeeded to get the final answer. I want to know where the substitution comes from. I read in many articles that you have to use it. I am trying to see where it comes from. A sech2 substitution is not obvious when looking at that integral.

Hello, I am trying to understand the resolution of the following KdV equation. I try to demonstrate it by myself. The solitary wave solution is : At first, I created new variable as follows so I could transform the PDE into an ODE. A = A(p) p = g(x,t) g(x,t) = x - ct I succeeded to...

Hello everyone, I am François from Montréal, Québec. I just graduated from a BSc of Earth and Atmospheric Science. I am starting a MSc in atmospheric (or environmental) science in september. I had a lot of physics during my degree and I am doing physics right now this summer as I am doing an...