Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation

Jalil Manafian, Behnam Mohammadi-Ivatloo and Mehdi Abapour

Applied Mathematics and Computation, 2019, vol. 356, issue C, 13-41

Abstract: In this article, we use the Hirota bilinear method. With the help of the symbolic calculation and applying the used method, we solve the (2+1)-dimensional Breaking Soliton (BS) equation. We obtain some interaction between lump soliton and solitary wave, the interaction between lump soliton and periodic wave, breather-type periodic soliton, periodic kink-wave, kink-soliton wave, and solitary wave solutions. All solutions have been verified back into its corresponding equation with the aid of Maple package program. The graphical representation of the solution is given by Maple and physically interpreted. The obtained results are useful in gaining the understanding of the various nonlinear scenarios in fluid dynamics and also the dynamics of higher dimensional nonlinear wave fields related to mathematical physics and engineering sciences.

Keywords: Hirota bilinear method; Interaction between lump soliton and solitary wave; Interaction between lump soliton and periodic wave; Breather-type periodic soliton; Periodic kink-wave; Kink-soliton wave (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:356:y:2019:i:c:p:13-41

DOI: 10.1016/j.amc.2019.03.016

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