Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping
This paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state. Moreover, we consider the convergence of periodic solutions to the solita...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/385649 |
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| _version_ | 1832548223333433344 |
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| author | Ming Cheng |
| author_facet | Ming Cheng |
| author_sort | Ming Cheng |
| collection | DOAJ |
| description | This paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state. Moreover, we consider the convergence of periodic solutions to the solitary waves. |
| format | Article |
| id | doaj-art-cd8c0d0518134c8abac5b37f3051be18 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cd8c0d0518134c8abac5b37f3051be182025-02-03T06:41:58ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/385649385649Solitary Waves of the Schrödinger Lattice System with Nonlinear HoppingMing Cheng0College of Mathematics, Jilin University, Changchun 130012, ChinaThis paper is concerned with the nonlinear Schrödinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state. Moreover, we consider the convergence of periodic solutions to the solitary waves.http://dx.doi.org/10.1155/2015/385649 |
| spellingShingle | Ming Cheng Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping Journal of Function Spaces |
| title | Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping |
| title_full | Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping |
| title_fullStr | Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping |
| title_full_unstemmed | Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping |
| title_short | Solitary Waves of the Schrödinger Lattice System with Nonlinear Hopping |
| title_sort | solitary waves of the schrodinger lattice system with nonlinear hopping |
| url | http://dx.doi.org/10.1155/2015/385649 |
| work_keys_str_mv | AT mingcheng solitarywavesoftheschrodingerlatticesystemwithnonlinearhopping |