Exact Solutions of (2+1) Dimensional Cubic Klein-Gordon (cKG) Equation-Reference-Cited by-同舟云学术

Exact Solutions of (2+1) Dimensional Cubic Klein-Gordon (cKG) Equation

Published:2022-10-01 Issue:5 Volume:7 Page:613-623
ISSN:2455-7749
Container-title:International Journal of Mathematical, Engineering and Management Sciences
language:en
Short-container-title:Int. j. math. eng. manag. sci.

Author:

Kaur Lakhveer¹,. Kuldeep¹

Affiliation:

1. Department of Mathematics, Jaypee Institute of Information Technology, Noida, U.P., India.

Abstract

In current study, (2+1)-dimensional cubic Klein-Gordon (cKG) equation illustrating dislocation propagation in crystals as well as the behaviour of elementary particles is investigated to establish a variety of new analytic exact solitary wave solutions. Modified exponential expansion method has been implemented to unfold certain wave solutions of considered model. As a result, three sorts of solutions emerge in a fairly systematic manner in the shape of hyperbolic, trigonometric, and rational functions. The kink and periodic wave solitons are acquired and presented geometrically, some 3D plots are simulated and displayed to respond the dynamic behavior of these obtained solutions. In this work we have used symbolic package maxima to obtained our solutions. Our acquired solutions might be most helpful to analyze physical issues that arise from nonlinear complicated dynamical systems.

Publisher

Ram Arti Publishers

Subject

General Engineering,General Business, Management and Accounting,General Mathematics,General Computer Science

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