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New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation

New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation

作     者:Md. Nur Alam Fethi Bin Muhammad Belgacem Md. Nur Alam;Fethi Bin Muhammad Belgacem

作者机构:Department of Mathematics Pabna University of Science & Technology Pabna Bangladesh Department of Mathematics Faculty of Basic Education PAAET Al-Ardhiya Kuwait 

出 版 物:《Advances in Pure Mathematics》 (理论数学进展(英文))

年 卷 期:2016年第6卷第3期

页      面:168-179页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:New Generalized (G'/G)-Expansion Method Coupled Konno-Oono Equations Nonlinear Partial Differential Equation 

摘      要:The new generalized (G /G)-expansion method is one of the powerful and competent methods that appear in recent time for establishing exact solutions to nonlinear evolution equations (NLEEs). We apply the new generalized (G /G)-expansion method to solve exact solutions of the new coupled Konno-Oono equation and construct exact solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. The significance of obtained solutions gives credence to the explanation and understanding of related physical phenomena. As a newly developed mathematical tool, this method efficiency for finding exact solutions has been demonstrated through showing its straightforward nature and establishing its ability to handle nonlinearities prototyped by the NLEEs whether in applied mathematics, physics, or engineering contexts.

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