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Wave solutions for variants of the KdV–Burger and the K ( n , n )–Burger equations by the generalized G′/G‐expansion method
Author(s) -
Teymuri Sindi Cevat,
Manafian Jalil
Publication year - 2017
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.4309
Subject(s) - mathematics , korteweg–de vries equation , partial differential equation , nonlinear system , traveling wave , computation , mathematical analysis , symbolic computation , differential equation , algorithm , physics , quantum mechanics
An application of theG ′ / G ‐expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for variants of the Korteweg–de Vries–Burger and the K ( n , n )–Burger equations. The generalizedG ′ / G ‐expansion method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact traveling wave solutions of nonlinear partial differential equations. It is shown that the generalizedG ′ / G ‐expansion method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear problems. Copyright © 2017 John Wiley & Sons, Ltd.