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Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation
Author(s) -
Li Y.,
McLaughlin David W.,
Shatah Jalal,
Wiggins S.
Publication year - 1996
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199611)49:11<1175::aid-cpa2>3.0.co;2-9
Subject(s) - homoclinic orbit , mathematics , integrable system , singular perturbation , nonlinear system , perturbation (astronomy) , nonlinear schrödinger equation , mathematical analysis , breather , mathematical physics , schrödinger equation , physics , bifurcation , quantum mechanics
The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear Schrödinger equation under even periodic boundary conditions is established. More specifically, the existence of a symmetric pair of homoclinic orbits is established for the perturbed NLS equation through an argument that combines Melnikov analysis with a geometric singular perturbation theory for the PDE. © 1996 John Wiley & Sons, Inc.