Title of article :
Multi-soliton solutions of the BBM equation arisen in shallow water
Author/Authors :
Alsayyed ، O. - Hashemite University , Jaradat ، H. M. - Al al-Bayt University , Jaradat ، M. M. M. - Qatar University , Mustafa ، Zead - Qatar University , Shatat ، Feras - Emirates College of Technology
Abstract :
In this work, multiple soliton solutions and multiple singular soliton solutions are formally derived for the BBM equation. A novel transformation method combined with the Hirota s bilinear method are used to determine the two sets of solutions, where each set has a distinct structure. The resonance phenomenon does not exist for the model under the study.
Keywords :
N , soliton solutions , BBM equation , shallow water waves.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications