Meromorphic solutions of the seventh-order KdV equation by using an extended complex method and Painlev? analysis
نویسندگان
چکیده
منابع مشابه
Exact travelling solutions for the Lax's seventh-order KdV equation by sech method and rational exp-function method
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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In this paper an implicit fully discrete local discontinuous Galerkin (LDG) finite element method is applied to solve the time-fractional seventh-order Korteweg-de Vries (sKdV) equation, which is introduced by replacing the integer-order time derivatives with fractional derivatives. We prove that our scheme is unconditional stable and L error estimate for the linear case with the convergence ra...
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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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ژورنال
عنوان ژورنال: Scienceasia
سال: 2023
ISSN: ['1513-1874']
DOI: https://doi.org/10.2306/scienceasia1513-1874.2022.133