Multi-Speeds solitary waves solutions for nonlinear Schr\"odinger systems
Analysis of PDEs
2017-05-17 v2
Abstract
We prove the existence of a new type of solutions to a nonlinear Schr\"odinger system. These solutions, which we call "multi-speeds solitary waves", are behaving at large time as a couple of scalar solitary waves traveling at different speeds. The proof relies on the construction of approximations of the multi-speeds solitary waves by solving the system backwards in time and using energy methods to obtain uniform estimates.
Cite
@article{arxiv.1204.3985,
title = {Multi-Speeds solitary waves solutions for nonlinear Schr\"odinger systems},
author = {Isabella Ianni and Stefan Le Coz},
journal= {arXiv preprint arXiv:1204.3985},
year = {2017}
}