Solutions with separated variables and breather structures in the -dimensional nonlinear systems
| Autor: | Chao-Qing Dai, Xian-jing Lai, Jianping Meng, Chang-zhi Xu, Jie-Fang Zhang |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Physics
Multilinear map Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems Partial differential equation Integrable system Breather Mathematical analysis General Physics and Astronomy KdV hierarchy Wave equation Nonlinear Sciences::Pattern Formation and Solitons Variable (mathematics) |
| Zdroj: | Physics Letters A. 352:511-519 |
| ISSN: | 0375-9601 |
| Popis: | In this Letter, the multilinear variable separation approach is extended to ( 1 + 1 ) -dimensional nonlinear systems, and the independent variables of these systems are totally separated. A common formula with some arbitrary functions is derived to describe suitable physical quantities for some ( 1 + 1 ) -dimensional models such as the negative KdV hierarchy, the long-wave–short-wave resonant interaction equation, the Ito system, the shallow water wave equations and the coupled integrable dispersionless equations. Based on the formula and by selecting appropriate functions, rich breather structures, such as soliton-type, peakon-type, compacton-type, foldon-type breathers, can be investigated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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