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Modified ( G ′ ∕ G ) ‐expansion method for finding exact wave solutions of the coupled Klein–Gordon–Schrödinger equation
Author(s) -
Bansal Anupma,
Gupta Rajesh K.
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2506
Subject(s) - ode , mathematics , klein–gordon equation , ordinary differential equation , trigonometry , mathematical analysis , nonlinear system , hyperbolic function , homogeneous space , partial differential equation , traveling wave , nonlinear schrödinger equation , mathematical physics , trigonometric functions , riccati equation , differential equation , schrödinger equation , physics , geometry , quantum mechanics
The coupled Klein–Gordon–Schrödinger equation is reduced to a nonlinear ordinary differential equation (ODE) by using Lie classical symmetries, and various solutions of the nonlinear ODE are obtained by the modified ( G ′ ∕ G ) ‐expansion method proposed recently. With the aid of solutions of the nonlinear ODE, more explicit traveling wave solutions of the coupled Klein–Gordon–Schrödinger equation are found out. The traveling wave solutions are expressed by the hyperbolic functions, trigonometric functions, and rational functions. Copyright © 2012 John Wiley & Sons, Ltd.