9 citations · 21 across the 7 of their papers we have counts for
4 papers · 2 filters
Stability of two soliton collision for nonintegrable gKdV equations
Yvan Martel, Frank Merle
We continue our study of the collision of two solitons for the subcritical generalized KdV equations. In a previous paper, mainly devoted to the case of the quartic gKdV equation,…
Description of two soliton collision for the quartic gKdV equation
Yvan Martel, Frank Merle
This paper concerns the problem of collision of two solitons for the quartic generalized Korteweg-de Vries equation. We introduce a new framework to describe the collision in the s…
Refined asymptotics around solitons for gKdV equations
Yvan Martel, Frank Merle
We consider the generalized Korteweg-de Vries equation with general nonlineari…
Asymptotic stability of solitons of the gKdV equations with general nonlinearity
Yvan Martel, Frank Merle
We consider the generalized Korteweg-de Vries equation \partial_t u + \partial_x (\partial_x^2 u + f(u))=0, \quad (t,x)\in [0,T)\times \mathbb{R}, (1) with general nonlineari…