Year: 2002
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 2 : pp. 6–36
Abstract
In this paper, the existence of homoclinic orbits, for a perturbed cubic-quintic nonlinear Schrödinger equation with even periodic boundary conditions, under the generalized parameters conditions is established. More specifically, we combine geometric singular perturbation theory with Melnikov analysis and integrable theory to prove the persistence of homoclinic orbits.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JPDE-5445
Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 2 : pp. 6–36
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Homoclinic orbit