Exact Traveling Wave Solutions for the BBM Equation, Schamel Equation and Modified Kawahara Equation and their Geometric Interpretations

Research outputpeer-review

Abstract

In this paper, we employ the extended mapping method to obtain the exact traveling
wavesolutions of the Benjamin-Bona-Mahony (BBM) equation, the Schamel equation and the modified
Kawahara equation. Our results show that these solutionsinclude periodic wavesolutions and solitary wave
solutions.The geometric interpretation for some of these solstionare introduced. The solitary wave
solutions are obtained as a limiting case.
Original languageEnglish
Title of host publication1st International Conference on New Horizons in Basic and Applied Science, Hurghada – Egypt
Pages105-118
Number of pages14
Volume1
Edition1
Publication statusPublished - 2013

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    Шерих, А. А. М. А., Hassan, M. M., & Abdel-Razek, M. A. (2013). Exact Traveling Wave Solutions for the BBM Equation, Schamel Equation and Modified Kawahara Equation and their Geometric Interpretations. In 1st International Conference on New Horizons in Basic and Applied Science, Hurghada – Egypt (1 ed., Vol. 1, pp. 105-118)