Quasiperiodic waves and asymptotic behavior for the nonisospectral and variable-coefficient KdV equation
| Autor: | Kanghui Dong, Rongjie Jin, Yi Zhang |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Variable coefficient
Nonlinear Sciences::Exactly Solvable and Integrable Systems Quasiperiodic function Mathematical analysis Bilinear interpolation Periodic wave Limit (mathematics) Soliton Small amplitude Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons Mathematics Mathematical physics |
| Zdroj: | AIP Conference Proceedings. |
| ISSN: | 0094-243X |
| DOI: | 10.1063/1.4828698 |
| Popis: | In this paper, quasiperiodic waves and asymptotic behavior for the nonisospectral and variable-coefficient KdV (nvcKdV) equation are considered. The Hirota bilinear method is extended to explicitly construct multiperiodic (quasiperiodic) wave solutions for the nvcKdV equation. And a limiting procedure is presented to analyze asymptotic behavior of the one- and two-periodic waves in details. The exact relations between the periodic wave solutions and the well-known soliton solutions are established. It is rigorously shown that the periodic wave solutions tend to the soliton solutions under a small amplitude limit. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|