Open AccessA variety of exact analytical solutions of extended shallow water wave equations via improved (G’/G) -expansion method
Author(s) -
Faisal Hawlader,
Dipankar Kumar
Publication year - 2017
Publication title -
international journal of physical research
Language(s) - English
Resource type - Journals
ISSN - 2307-9010
DOI - 10.14419/ijpr.v5i1.7429
Subject(s) - maple , trigonometry , trigonometric functions , waves and shallow water , rational function , simple (philosophy) , hyperbolic function , mathematical analysis , nonlinear system , variety (cybernetics) , traveling wave , mathematics , work (physics) , geometry , geology , physics , engineering , mechanical engineering , philosophy , oceanography , botany , statistics , epistemology , quantum mechanics , biology
In this present work, we have established exact solutions for (2+1) and (3+1) dimensional extended shallow-water wave equations in-volving parameters by applying the improved (G’/G) -expansion method. Abundant traveling wave solutions with arbitrary parameter are successfully obtained by this method, and these wave solutions are expressed in terms of hyperbolic, trigonometric, and rational functions. The improved (G’/G) -expansion method is simple and powerful mathematical technique for constructing traveling wave, solitary wave, and periodic wave solutions of the nonlinear evaluation equations which arise from application in engineering and any other applied sciences. We also present the 3D graphical description of the obtained solutions for different cases with the aid of MAPLE 17.