Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation

Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 18–28

Abstract

In this paper, the perturbed higher-order NLS equation with periodic boundary condition is considered. The existence of the homoclinic orbits for the truncation equation is established by Melnikov analysis and geometric singular perturbation theory.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5402

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 18–28

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    homoclinic