PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED NONLINEAR SCHRODINGER-EQUATION

Authors
LI Y MCLAUGHLIN DW SHATAH J WIGGINS S
Citation
Y. Li et al., PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED NONLINEAR SCHRODINGER-EQUATION, Communications on pure and applied mathematics, 49(11), 1996, pp. 1175-1255
Citations number
63
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Communications on pure and applied mathematics → ACNP
ISSN journal
00103640
Volume
49
Issue
11
Year of publication
1996
Pages
1175 - 1255
Database
ISI
SICI code
0010-3640(1996)49:11<1175:PHOFAP>2.0.ZU;2-S
Abstract
The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear Schrodinger equation under even periodic boundary conditions is established. More specifically, the existence of a symm etric pair of homoclinic orbits is established for the perturbed NLS e quation through an argument that combines Melnikov analysis with a geo metric singular perturbation theory for the PDE. (C) 1996 John Wiley & Sons, Inc.