Collision of solitons for a nonhomogeneous version of the KdV equation
Collision of solitons for a nonhomogeneous version of the KdV equation
We consider KdV-type equations with $C^1$ nonhomogeneous nonlinearities and small dispersion $\varepsilon$. The first result consists in the conclusion that, in the leading term with respect to $\varepsilon$, the solitary waves in this model interact like KdV solitons. Next it turned out that there exists a very interesting scenario of …