A (2 + 1)-dimensional extension of the Benjamin-Ono equation: Multiple soliton solutions and multiple complex soliton solutions
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 11 October 2018
Issue publication date: 30 October 2018
Abstract
Purpose
The purpose of this paper is concerned with developing a (2 + 1)-dimensional Benjamin–Ono equation. The study shows that multiple soliton solutions exist and multiple complex soliton solutions exist for this equation.
Design/methodology/approach
The proposed model has been handled by using the Hirota’s method. Other techniques were used to obtain traveling wave solutions.
Findings
The examined extension of the Benjamin–Ono model features interesting results in propagation of waves and fluid flow.
Research limitations/implications
The paper presents a new efficient algorithm for constructing extended models which give a variety of multiple soliton solutions.
Practical implications
This work is entirely new and provides new findings, where although the new model gives multiple soliton solutions, it is nonintegrable.
Originality/value
The work develops two complete sets of multiple soliton solutions, the first set is real solitons, whereas the second set is complex solitons.
Keywords
Citation
Wazwaz, A.-M. (2018), "A (2 + 1)-dimensional extension of the Benjamin-Ono equation: Multiple soliton solutions and multiple complex soliton solutions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 11, pp. 2681-2687. https://doi.org/10.1108/HFF-04-2018-0129
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited