On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice
We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions are not zero.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/404369 |
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| _version_ | 1832547507212648448 |
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| author | Meihua Huang Zhan Zhou |
| author_facet | Meihua Huang Zhan Zhou |
| author_sort | Meihua Huang |
| collection | DOAJ |
| description | We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions are not zero. |
| format | Article |
| id | doaj-art-54b75f4f79ed43ba8ba3b8675c8dfe60 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-54b75f4f79ed43ba8ba3b8675c8dfe602025-02-03T06:44:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/404369404369On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger LatticeMeihua Huang0Zhan Zhou1School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaWe study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions are not zero.http://dx.doi.org/10.1155/2013/404369 |
| spellingShingle | Meihua Huang Zhan Zhou On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice Journal of Applied Mathematics |
| title | On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice |
| title_full | On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice |
| title_fullStr | On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice |
| title_full_unstemmed | On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice |
| title_short | On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice |
| title_sort | on the existence of ground state solutions of the periodic discrete coupled nonlinear schrodinger lattice |
| url | http://dx.doi.org/10.1155/2013/404369 |
| work_keys_str_mv | AT meihuahuang ontheexistenceofgroundstatesolutionsoftheperiodicdiscretecouplednonlinearschrodingerlattice AT zhanzhou ontheexistenceofgroundstatesolutionsoftheperiodicdiscretecouplednonlinearschrodingerlattice |