### Abstract

In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions.

Original language | English |
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Pages (from-to) | 433-439 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 363 |

Issue number | 5-6 |

DOIs | |

Publication status | Published - Apr 9 2007 |

### Keywords

- Adomian decomposition method
- Kawahara equation
- Sinc-Galerkin method
- Traveling wave solution

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Kaya, D., & Al-Khaled, K. (2007). A numerical comparison of a Kawahara equation.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*363*(5-6), 433-439. https://doi.org/10.1016/j.physleta.2006.11.055