Travelling wave solution for some partial differential equations
| Autor: | Khalid K. Ali, Abbas H. Taqi, Borhan F. Jomaa, Muhannad A. Shallal |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Range (mathematics) Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems Partial differential equation Hyperbolic function Mathematical analysis Mathematics::Analysis of PDEs Traveling wave Trigonometric functions Nonlinear partial differential equation Sine Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | AIP Conference Proceedings. |
| ISSN: | 0094-243X |
| DOI: | 10.1063/1.5097812 |
| Popis: | In this paper, new travelling wave solutions for some nonlinear partial differential equations based on cosine hyperbolic - sine hyperbolic (cosh-sinh) method has been proposed. This method is used to obtain exact solutions for the nonlinear Benjamin-Bona-Mahony (BBM), Modified Benjamin-Bona-Mahony (MBBM), Dispersive Modified Benjamin- Bona-Mahony (DMBBM), (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM), and (2+1)- dimensional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equations. The travelling wave solutions are presented in terms of cosh and sinh functions. The proposed technique is an efficient and powerful mathematical method for solving a wide range of nonlinear partial differential equation. |
| Databáze: | OpenAIRE |
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