TY - JOUR
T1 - Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation
AU - Li, Y.
AU - McLaughlin, David W.
AU - Shatah, Jalal
AU - Wiggins, S.
PY - 1996/11
Y1 - 1996/11
N2 - 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.
AB - 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.
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U2 - 10.1002/(SICI)1097-0312(199611)49:11<1175::AID-CPA2>3.0.CO;2-9
DO - 10.1002/(SICI)1097-0312(199611)49:11<1175::AID-CPA2>3.0.CO;2-9
M3 - Article
AN - SCOPUS:0030506927
SN - 0010-3640
VL - 49
SP - 1175
EP - 1255
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 11
ER -