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arXiv · 1609.06655

Coupled system of nonlinear Schr\"odinger and Korteweg-de Vries equations

Rasiel Fabelo
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Abstract

This work is divided into two parts. First, we analyze the existence of positive bound and ground states for a second order stationary system coming from a coupled system of nonlinear Schr\"odinger--Korteweg-de Vries equations. Second, we extend these results for a higher order system of nonlinear Schr\"odinger--Korteweg-de Vries equations. Looking for "standing-traveling" waves we arrive at a bi-harmonic stationary system, for which we prove the existence and multiplicity of solutions under appropriate conditions on the parameters.

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Rasiel Fabelo. 2016-09-21. Coupled system of nonlinear Schr\"odinger and Korteweg-de Vries equations. https://arxiv.org/abs/1609.06655

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