On the solitary wave solutions for nonlinear Euler equations

Abstract

In this article, we study the nonlinear Euler equations with respect to the unknown functions

. We use an extended hyperbola function method, tanh-function method and sec _q  − tanh _q method to find some new solitary wave solutions of the nonlinear Euler equations.

Keywords:

• Nonlinear Euler equations
• Soliton wave solutions
• Hyperbola function method
• tanh-function method
• secq − tanhq method
• Homogeneous balance method
• Symbolic software like Mathematica or Maple
• AMS Subject Classifications: 35K99
• 35P05
• 35P99

Acknowledgment

The authors wish to thank the referee for his suggestions and comments on this article.

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Khaled A. Gepreel

E-mail: [email protected]