TY - JOUR
T1 - Persistent Homoclinic Orbits for a Perturbed Cubic-quinitic Nonlinear Schrodinger Equation
JO - Journal of Partial Differential Equations
VL - 2
SP - 6
EP - 36
PY - 2002
DA - 2002/05
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5445.html
KW - Homoclinic orbit
KW - perturbed cubic-quintic nonlinear Schrödinger equation
KW - geometric singular perturbation theory
KW - Melnikov analysis
AB -  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.