Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation
نویسندگان
چکیده
منابع مشابه
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 know...
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In this paper, we establish exact solutions for a nonlinear evolution equation. The sech method and the exp-function method are used to construct the solitary travelling wave solutions of Lax’s seventh-order KdV equation. These solutions may be important of significance for the explanation of some practical physical problem. Crown Copyright 2008 Published by Elsevier Inc. All rights reserved.
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Abstract. In this work, it has been shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve time fractional generalized KdV of order 2q+1 and certain fractional PDEs. It is shown that exponential operators are an effective method for solving certain fractional linear equations with non-constant coefficients. It may be concluded that the com...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2017
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.06.046