A note on new exact solutions for the Kawahara equation using Exp-function method

被引：20

作者：

Kudryashov, Nikolai A. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, Moscow 115409, Russia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 12期

关键词：

Nonlinear evolution equation; Kawahara equation; Exact solution; Exp-function method; KURAMOTO-SIVASHINSKY EQUATION; WAVE SOLUTIONS;

D O I：

10.1016/j.cam.2010.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Exact solutions of the Kawahara equation by Assas [L.M.B. Assas, New Exact solutions for the Kawahara equation using Exp-function method, J. Comput. Appl. Math. 233 (2009) 97-102] are analyzed. It is shown that all solutions do not satisfy the Kawahara equation and consequently all nontrivial solutions by Assas are wrong. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3511 / 3512

页数：2

共 9 条

[1] New exact solutions for the Kawahara equation using Exp-function method
Assas, Laila M. B.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 97 - 102
[2] Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation
Kudryashov, N. A.
Soukharev, M. B.
[J]. REGULAR & CHAOTIC DYNAMICS, 2009, 14 (03) : 407 - 419
[3] EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION
KUDRYASHOV, NA
[J]. PHYSICS LETTERS A, 1990, 147 (5-6) : 287 - 291
[4] KUDRYASHOV NA, 1988, PMM-J APPL MATH MEC+, V52, P361
[5] Kudryashov NA, 1990, PMM-J APPL MATH MEC, V54, P372
[6] Seven common errors in finding exact solutions of nonlinear differential equations
Kudryashov, Nikolai A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) : 3507 - 3529
[7] On "new travelling wave solutions" of the KdV and the KdV-Burgers equations
Kudryashov, Nikolai A.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) : 1891 - 1900
[8] Be careful with the Exp-function method
Kudryashov, Nikolai A.
Loguinova, Nadejda B.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) : 1881 - 1890
[9] A note on travelling-wave solutions to Lax's seventh-order KdV equation
Parkes, E. J.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 864 - 865

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