Homoclinic orbits for a perturbed quintic-cubic nonlinear Schrödinger equation

被引：2
|
作者：
Guo, Doling [1 ]
Chen, Hanlin [2 ]
机构：
[1] Inst. Appl. Phys. and Compl. Math., Beijing 100088, China
[2] Mianyang Normal College, Mianyang 621000, China
来源：
Communications in Nonlinear Science and Numerical Simulation | 2001年 / 6卷 / 04期
关键词：
Boundary conditions - Orbits - Parameter estimation - Perturbation techniques;
D O I：
10.1016/S1007-5704(01)90019-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. We combined geometric singular perturbation theory, Melnikov analysis, and integrable theory to prove the persistence of homoclinic orbits.
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页码：227 / 230
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