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

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

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

Yayımlanma Tarihi

29 Aralık 2018

Gönderilme Tarihi

10 Mayıs 2018

Kabul Tarihi

17 Ekim 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 2 Sayı: 2

DOI

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

IZ

https://izlik.org/JA87TT86BW

Kaynak Göster

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

Cited By

A New Approach to (3+1) Dimensional Boiti–Leon–Manna–Pempinelli Equation

Applied Mathematics and Nonlinear Sciences

https://doi.org/10.2478/amns.2020.1.00029

Soliton solutions of (2+1)-dimensional non-linear reaction-diffusion model via Riccati-Bernoulli approach

Thermal Science

https://doi.org/10.2298/TSCI22S2811A

Öz

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

Abstract

Keywords

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

DOI

IZ

Kaynak Göster

Cited By

A New Approach to (3+1) Dimensional Boiti–Leon–Manna–Pempinelli Equation

Soliton solutions of (2+1)-dimensional non-linear reaction-diffusion model via Riccati-Bernoulli approach