New exact solution for (2+1) and (3+1) dimensional nonlinear partial differential equations

Ozkan Guner

doi:10.29002/asujse.422554

EN

New exact solution for (2+1) and (3+1) dimensional nonlinear partial differential equations

Abstract

In this paper, dark soliton solutions have been obtained for the (2+1)-dimensional reaction-diffusion equation, the (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili (gBKP) equation and the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation using the solitary wave ansatz. Ansatz approach is utilized to carry out this integration. The constraint relations for each of the equations are given for the existence of dark soliton solutions.

Keywords

Ansatz method,dark soliton solutions,exact solution

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ozkan Guner ^*
0000-0002-9900-2844
Türkiye

Publication Date

December 29, 2018

Submission Date

May 10, 2018

Acceptance Date

October 17, 2018

Published in Issue

Year 2018 Volume: 2 Number: 2

DOI

https://doi.org/10.29002/asujse.422554

IZ

https://izlik.org/JA87TT86BW

Cite

RIS / Bibtex

APA

Guner, O. (2018). New exact solution for (2+1) and (3+1) dimensional nonlinear partial differential equations. Aksaray University Journal of Science and Engineering, 2(2), 161-170. https://doi.org/10.29002/asujse.422554