Wave solutions for variants of the KdV–Burger and the K(n,n)–Burger equations by the generalized G′/G‐expansion method

• Published in: Mathematical methods in the applied sciences Vol. 40; no. 12; pp. 4350 - 4363
• Main Authors: Teymuri Sindi, Cevat, Manafian, Jalil
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 01.08.2017
• Subjects: Exact solutions; exact traveling wave solutions; K(n,n)–Burger equations; Nonlinear differential equations; Nonlinear evolution equations; Nonlinear programming; Partial differential equations; solitary wave and periodic wave solutions; the G′/G‐expansion method; variants of the KdV–Burger
• ISSN: 0170-4214; 1099-1476
• DOI: 10.1002/mma.4309

An application of the G′/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 generalized G′/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 generalized G′/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.