Open AccessExploration on traveling wave solutions to the 3rd-order klein–fock-gordon equation (KFGE) in mathematical physics
Author(s) -
Nur Hasan Mahmud Shahen,
Foyjonnesa,
Md. Habibul Bashar
Publication year - 2020
Publication title -
international journal of physical research
Language(s) - English
Resource type - Journals
ISSN - 2307-9010
DOI - 10.14419/ijpr.v8i1.30711
Subject(s) - traveling wave , nonlinear system , trigonometry , trigonometric functions , hyperbolic function , exponential function , maple , mathematics , klein–gordon equation , exact solutions in general relativity , symbolic computation , function (biology) , wave function , mathematical analysis , calculus (dental) , physics , quantum mechanics , geometry , medicine , botany , dentistry , evolutionary biology , biology
In this paper, the -expansion method has been applied to find the new exact traveling wave solutions of the nonlinear evaluation equations (NLEEs) by utilizing 3rd-order Klein–Gordon Equation (KFGE). With the collaboration of symbolic commercial software maple, the competence of this method for inventing these exact solutions has been more exhibited. As an upshot, some new exact solutions are obtained and signified by hyperbolic function solutions, different combinations of trigonometric function solutions, and exponential function solutions. Moreover, the -expansion method is a more efficient method for exploring essential nonlinear waves that enrich a variety of dynamic models that arises in nonlinear fields. All sketching is given out to show the properties of the innovative explicit analytic solutions. Our proposed method is directed, succinct, and reasonably good for the various nonlinear evaluation equations (NLEEs) related treatment and mathematical physics also.