Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations

Guifeng Deng,Deming Zhu

doi:10.1016/j.na.2010.03.022

Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations

Guifeng Deng, Deming Zhu

https://doi.org/10.1016/j.na.2010.03.022

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Journal: Nonlinear Analysis	Publication Date: Apr 24, 2010
Citations: 2

Affiliation: Shanghai Lixin University of Accounting and Finance, East China Normal University

#Coupled Nonlinear Schrödinger #Homoclinic Orbits + Show 7 more

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Abstract

In this paper, a geometrical perturbation method is employed to prove the existence of heteroclinic orbits for the kinetic system of near-integrable coupled nonlinear Schrödinger (CNLS) equations. Furthermore, we obtain the persistence of homoclinic orbits for the perturbed CNLS equations with even and periodic boundary conditions.

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