One method for finding exact solutions of nonlinear differential equations

Kudryashov, 1988, Exact soliton solutions of the generalized evolution equation of wave dynamics, J Appl Math Mech, 52, 361, 10.1016/0021-8928(88)90090-1

Kudryashov, 1991, On types of nonlinear nonintegrable differential equations with exact solutions, Phys Lett A, 155, 269, 10.1016/0375-9601(91)90481-M

Parkes, 1996, An automated tanh – function method for finding solitary wave solutions to non-linear evolution equations, Comput Phys Commun, 98, 288, 10.1016/0010-4655(96)00104-X

Malfliet, 1996, The Tanh method: I Exact solutions of nonlinear evolution and wave equations, Phys Scripta, 54, 563, 10.1088/0031-8949/54/6/003

Kudryashov, 1990, Exact solutions of the generalized Kuramoto–Sivashinsky equation, Phys Lett A, 147, 287, 10.1016/0375-9601(90)90449-X

Kudryashov, 2005, Simplest equation method to look for exact solutions of nonlinear differential equations, Chaos Soliton Fract, 24, 1217, 10.1016/j.chaos.2004.09.109

Parkes, 2002, The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations, Phys Lett A, 295, 280, 10.1016/S0375-9601(02)00180-9

Vitanov, 2010, Application of simplest equations of Bernouli and Riccati kind for obtaining exact travelling wave solutions for a class of PDEs with polynomial nonlinearity, Commun Nonlinear Sci Numer Simulat, 15, 2050, 10.1016/j.cnsns.2009.08.011

Vitanov, 2011, Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs, Commun Nonlinear Sci Numer Simulat, 16, 1176, 10.1016/j.cnsns.2010.06.011

Vitanov, 2011, On modified method of simplest equation for obtaining exact and approximate of nonlinear PDEs: the role of the simplest equation, Commun Nonlinear Sci Numer Simulat, 16, 4215, 10.1016/j.cnsns.2011.03.035

Biswas, 2009, Solitary wave solution for the generalized Kawahara equation, Appl Math Lett, 22, 208, 10.1016/j.aml.2008.03.011

Biswas, 2010, Topological and non-topological exact soliton of the power law KdV equation, Commun Nonlinear Sci Numer Simulat, 15, 3263, 10.1016/j.cnsns.2009.12.008

He, 2006, Exp-function method for nonlinear wave equations, Chaos Soliton Fract, 30, 700, 10.1016/j.chaos.2006.03.020

Wu, 2007, Solitary solutions, periodic solutions and compaction – like solutions using the Exp – function method, Comput Math Appl, 54, 66, 10.1016/j.camwa.2006.12.041

Ma, 2010, A multiple Exp – function method for nonlinear differential equations and its application, Phys Scripta, 82, 005003, 10.1088/0031-8949/82/06/065003

Ma, 2011, Linear Superposition principle applying to Hirota bilinear equations, Comput Math Appl, 61, 950, 10.1016/j.camwa.2010.12.043

Wang, 2008, The G′/G – expansion method and evolution equation in mathematical physics, Phys Lett A, 372, 417, 10.1016/j.physleta.2007.07.051

Ebadi, 2011, The G′/G method and topological solution of the K(m,n) equation, Commun Nonlinear Sci Numer Simulat, 16, 2377, 10.1016/j.cnsns.2010.09.009

Ma, 2009, A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miva equation, Chaos Soliton Fract, 42, 1356, 10.1016/j.chaos.2009.03.043

Ryabov, 2010, Exact solutions of the Kudryashov–Sinelshchikov equation, Appl Math Comput, 217, 3585, 10.1016/j.amc.2010.09.003

Kabir, 2011, Modified Kudryashov method for finding exact solitary wave solutions of higher order nonlinear equations, Math Method Appl Sci, 34, 213, 10.1002/mma.1349

Kabir MM. Modified Kudryashov method for Generalized forms of the nonlinear heat conduction equation. Int J Phys Sci in press.

Gepreel, 2011, The traveling wave solutions for some nonlinear PDEs in mathematical physics, Appl Math, 2, 343, 10.4236/am.2011.23040

Kudryashov, 2010, Meromorphic solutions of nonlinear ordinary differential equations, Commun Nonlinear Sci Numer Simulat, 15, 2778, 10.1016/j.cnsns.2009.11.013

Ma, 2011, Comment on the 3+1 dimensional Kadomtsev–Petviashvili equations, Commun Nonlinear Sci Numer Simulat, 16, 2663, 10.1016/j.cnsns.2010.10.003

Kudryashov, 2009, Be careful with Exp – function method, Commun Nonlinear Sci Numer Simulat, 14, 1881, 10.1016/j.cnsns.2008.07.021

Kudryashov, 2009, Seven common errors in finding exact solutions of nonlinear differential equations, Commun Nonlinear Sci Numer Simulat, 14, 3503, 10.1016/j.cnsns.2009.01.023

Kudryashov, 2009, On “new travelling wave solutions” of the KdV and the KdV-Burgers equations, Commun Nonlinear Sci Numer Simulat, 14, 1891, 10.1016/j.cnsns.2008.09.020

Demina, 2010, From Laurent series to exact meromorphic solutions: the Kawahara equation, Phys Lett A, 374, 40234029, 10.1016/j.physleta.2010.08.013

Demina, 2011, Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations, Commun Nonlinear Sci Numer Simulat, 16, 1127, 10.1016/j.cnsns.2010.06.035

Kudryashov, 2011, Exact solutions of the generalized Bretherton equation, Phys Lett A, 375, 1074, 10.1016/j.physleta.2011.01.010