Travelling wave solutions of the Schamel-Korteweg-de Vries and the Schamel equations. (English) Zbl 1356.35204
Summary: In this paper, the extended \((G'/G)\)-expansion method has been suggested for constructing travelling wave solutions of the Schamel-Korteweg-de Vries (s-KdV) and the Schamel equations with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the trigonometric function solutions with free parameters of these equations have been obtained. Moreover, it has been shown that the suggested method is elementary, effective and has been used to solve nonlinear evolution equations in applied mathematics, engineering and mathematical physics.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B10 | Periodic solutions to PDEs |
| 35C07 | Traveling wave solutions |
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