论文信息 - A note on travelling-wave solutions to Lax's seventh-order KdV equation

A note on travelling-wave solutions to Lax's seventh-order KdV equation

Ganji and Abdollahzadeh [D.D. Ganji, M. Abdollahzadeh, Appl. Math. Comput. 206 (2008) 438-444] derived three supposedly new travelling-wave solutions to Lax's seventh-order KdV equation. Each solution was obtained by a different method. It is shown that any two of the solutions may be obtained trivially from the remaining solution. Furthermore it is noted that one of the solutions has been known for many years.

E. J. Parkes

[1] B. Duffy,et al. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations , 1996 .

[2] Nikolai A. Kudryashov,et al. Seven common errors in finding exact solutions of nonlinear differential equations , 2009, 1011.4268.

[3] Nikolai A. Kudryashov,et al. Be careful with the Exp-function method , 2009, 1011.4265.

[4] Nikolai A. Kudryashov,et al. On "new travelling wave solutions" of the KdV and the KdV-Burgers equations , 2009 .

[5] Willy Hereman,et al. Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method , 1986 .

[6] D. D. Ganji,et al. Exact travelling solutions for the Lax's seventh-order KdV equation by sech method and rational exp-function method , 2008, Appl. Math. Comput..