Multi-Speeds solitary waves solutions for nonlinear Schrödinger systems

Details Multi-Speeds solitary waves solutions for nonlinear Schrödinger systems Multi-Speeds solitary waves solutions for nonlinear Schrödinger systems

2012-04-18

arxiv.org/abs/1204.3985v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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