Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations
| Autor: | Ahmet Yildirim, İhsan Timuçin Dolapci |
|---|---|
| Přispěvatelé: | Ege Üniversitesi |
| Rok vydání: | 2013 |
| Předmět: |
Partial differential equation
Independent equation Differential equation Applied Mathematics Mathematical analysis lcsh:QA299.6-433 non-linear PDE lcsh:Analysis Wave equation Waves and shallow water Simultaneous equations generalized KdV equation Korteweg–de Vries equation Shallow water equations Analysis exp-transform method system of the shallow water wave equation Mathematics |
| Zdroj: | Nonlinear Analysis, Vol 18, Iss 1 (2013) |
| ISSN: | 2335-8963 1392-5113 |
| DOI: | 10.15388/na.18.1.14029 |
| Popis: | WOS: 000319182800003 In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations. The generalized KdV equation and the system of the shallow water wave equation are chosen to illustrate the effectiveness and convenience of the method. |
| Databáze: | OpenAIRE |
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