### Abstract

The analytic solutions of nonlinear wave equations with power law nonlinearity have been investigated. We have applied the separation of variables and the auxiliary equation methods to three equations called the nonlinear dispersive equation, K(n+1;n+1) equation and K(n;n) equation. As a result, a wide range of travelling wave solutions have been obtained. Thus, the methods used here are efficient and can be applied to many nonlinear wave equations. The validation of all solutions is justified by using tools of computer algebra system.

Original language | English |
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Pages (from-to) | 537-551 |

Number of pages | 15 |

Journal | Nonlinear Studies |

Volume | 24 |

Issue number | 3 |

Publication status | Published - 2017 |

### Keywords

- Auxiliary equation method
- Exact solutions
- K(n+1;n+1) equation
- K(n;n) equation
- Nonlinear dispersive equation
- Separation of variables method

### ASJC Scopus subject areas

- Modelling and Simulation
- Applied Mathematics

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## Cite this

Al-Ghafri, K. S., & Krishnan, E. V. (2017). Exact solutions of nonlinear wave equations with power law nonlinearity.

*Nonlinear Studies*,*24*(3), 537-551.