The new exact solutions for the deterministic and stochastic (2+1)-dimensional equations in natural sciences

Autor:	Mahmoud A. E. Abdelrahman, M. A. Sohaly, Abdulghani Alharbi
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	riccati–bernoulli sub-ode method nonlinear (stochastic) partial differential equations ckg equation zk-mew equation bäcklund transformation travelling wave solutions Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 13, Iss 1, Pp 834-843 (2019)
Druh dokumentu:	article
ISSN:	1658-3655 16583655
DOI:	10.1080/16583655.2019.1644832
Popis:	This paper poses the Riccati–Bernoulli sub-ODE method in order to find the exact (random) travelling wave solutions for the (2+1)-dimensional cubic nonlinear Klein–Gordon (cKG) equation and the (2+1)-dimensional nonlinear Zakharov–Kuznetsov modified equal width (ZK-MEW) equation. The obtained travelling wave solutions are expressed by the hyperbolic, trigonometric and rational functions. Indeed, these solutions reflect some interesting physical interpretation for nonlinear phenomena. We discuss our method in deterministic case and in a random case. Additionally, we can show and discuss this method under some random distributions. Finally, some three-dimensional graphics of some solutions have been illustrated.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/bab8edfd2b3d4bf987ed9c043ac9a98f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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