### 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 |
---|---|

Pages (from-to) | 537-551 |

Number of pages | 15 |

Journal | Nonlinear Studies |

Volume | 24 |

Issue number | 3 |

Publication status | Published - 2017 |

### Fingerprint

### 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

### Cite this

*Nonlinear Studies*,

*24*(3), 537-551.

**Exact solutions of nonlinear wave equations with power law nonlinearity.** / Al-Ghafri, K. S.; Krishnan, E. V.

Research output: Contribution to journal › Article

*Nonlinear Studies*, vol. 24, no. 3, pp. 537-551.

}

TY - JOUR

T1 - Exact solutions of nonlinear wave equations with power law nonlinearity

AU - Al-Ghafri, K. S.

AU - Krishnan, E. V.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Auxiliary equation method

KW - Exact solutions

KW - K(n+1;n+1) equation

KW - K(n;n) equation

KW - Nonlinear dispersive equation

KW - Separation of variables method

UR - http://www.scopus.com/inward/record.url?scp=85028502321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85028502321&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85028502321

VL - 24

SP - 537

EP - 551

JO - Nonlinear Studies

JF - Nonlinear Studies

SN - 1359-8678

IS - 3

ER -