New exact solution for (2+1) and (3+1) dimensional nonlinear partial differential equations
Open Access
- 29 December 2018
- journal article
- Published by Aksaray University in Aksaray University Journal of Science and Engineering
- Vol. 2 (2), 161-170
- https://doi.org/10.29002/asujse.422554
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
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