Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials
We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. Sufficient conditions are established to show that the standing wave solutions have both...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/842594 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555983250915328 |
|---|---|
| author | Meihua Huang Zhan Zhou |
| author_facet | Meihua Huang Zhan Zhou |
| author_sort | Meihua Huang |
| collection | DOAJ |
| description | We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. Sufficient conditions are established to show that the standing wave solutions have both of the components not identically zero. |
| format | Article |
| id | doaj-art-3d598d0ef87240e69417e6ead06aa69d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3d598d0ef87240e69417e6ead06aa69d2025-02-03T05:46:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/842594842594Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded PotentialsMeihua Huang0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaWe demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. Sufficient conditions are established to show that the standing wave solutions have both of the components not identically zero.http://dx.doi.org/10.1155/2013/842594 |
| spellingShingle | Meihua Huang Zhan Zhou Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials Abstract and Applied Analysis |
| title | Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials |
| title_full | Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials |
| title_fullStr | Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials |
| title_full_unstemmed | Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials |
| title_short | Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials |
| title_sort | standing wave solutions for the discrete coupled nonlinear schrodinger equations with unbounded potentials |
| url | http://dx.doi.org/10.1155/2013/842594 |
| work_keys_str_mv | AT meihuahuang standingwavesolutionsforthediscretecouplednonlinearschrodingerequationswithunboundedpotentials AT zhanzhou standingwavesolutionsforthediscretecouplednonlinearschrodingerequationswithunboundedpotentials |