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arXiv · 1204.3985

Multi-Speeds solitary waves solutions for nonlinear Schr\"odinger systems

Isabella Ianni·Stefan Le Coz
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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.

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Isabella Ianni, Stefan Le Coz. 2012-04-18. Multi-Speeds solitary waves solutions for nonlinear Schr\"odinger systems. https://doi.org/10.1112/jlms%2Fjdt083

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