Coupled system of nonlinear Schr\"odinger and Korteweg-de Vries equations
Analysis of PDEs
2016-10-19 v2
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.
Keywords
Cite
@article{arxiv.1609.06655,
title = {Coupled system of nonlinear Schr\"odinger and Korteweg-de Vries equations},
author = {Rasiel Fabelo},
journal= {arXiv preprint arXiv:1609.06655},
year = {2016}
}
Comments
Master's thesis advised by Eduardo Colorado and Pablo Alvarez-Caudevilla. arXiv admin note: text overlap with arXiv:1411.7283 by other authors