Multi-soliton solutions of the BBM equation arisen in shallow water

Volume 9, Issue 4, pp 1807--1814 http://dx.doi.org/10.22436/jnsa.009.04.35

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Authors

O. Alsayyed - Department of Mathematics, Hashemite University, Jordan. H. M. Jaradat - Department of Mathematics, Al al-Bayt University, Jordan. - Department of Mathematics and Applied Sciences, Dhofar University, Salalah, Oman. M. M. M. Jaradat - Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar. Z. Mustafa - Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar. F. Shatat - General Courses Department, Emirates College of Technology, Abu-Dhabi, Emirates.

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.

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Keywords

• N-soliton solutions
• BBM equation
• shallow water waves.

MSC

•  37K40
•  35C08

References

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