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耦合的修正变系数KdV方程的非线性波解 被引量：2

Nonlinear Wave Solutions for a Coupled Modified KdV Equation with Variable Coefficients
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摘要 研究一个带变系数的耦合修正KdV方程的非线性波解,利用F-展开法获得多种非线性波解,这些解包括孤立波解、扭波解(反扭波解)、爆破解和周期爆破解.带变系数的耦合修正KdV方程具有扭波解(反扭波解),而对于带变系数的耦合KdV方程,却未得到.这个结果与修正KdV方程和KdV方程的情形是类似的. In this paper,we study a coupled modified KdV equation with variable coefficients by exploiting F-expansion method and obtain multifarious explicit nonlinear wave solutions,which include solitary wave solutions,kink（or antikink）wave solutions,blow-up solutions and periodic blow-up solutions.The coupled modified KdV equation with variable coefficients possesses kink（or antikink）wave solutions,however,for the coupled KdV equation with variable coefficients,kink（or antikink）wave solutions have not been obtained.This result is similar with that of MKdV equation and KdV equation.
作者 温振庶
机构地区 华侨大学数学科学学院
出处 《华侨大学学报（自然科学版）》 CAS 北大核心 2014年第5期597-600,共4页 Journal of Huaqiao University(Natural Science)
基金 国家自然科学基金资助项目(11326163) 华侨大学高层次人才科研启动项目(12BS223)
关键词 KDV方程 非线性波解 变系数 F-展开法 KdV equation nonlinear wave solution variable coefficients F-expansion method
分类号 O175.29 [理学—基础数学]
  • 相关文献

参考文献15

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二级参考文献28

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共引文献2

同被引文献20

  • 1刘正荣,Ali Mohammed Kayed.分支方法与广义CH方程的显式周期波解[J].华南理工大学学报（自然科学版）,2007,35(10):227-232. 被引量：6
  • 2YAN Zhenya. Similarity transformations and exact solutions for a family of higher-dimensional generalized Bouss- inesq equations[J]. Physics Letters A, 2007,361(3) : 223-230.
  • 3GUO Yunxi,LAI Shaoyong. New exact solutions for an (n+ 1)-dimensional generalized Boussinesq eciuati~n[J]. Nonlinear Analysis: Theory, Methods and Applications, 2010,72 (6): 2863-2878.
  • 4LIU Changfu,DAI Zhengde. Exact periodic solitary wave solutions for the (2+1)-dimensional Boussinesq equation [J]. Journal of Mathematical Analysis and Applications, 2010,367 (2) : 444-450.
  • 5ABDELRADY A, OSMAN E, KHALFALLAH M. On soliton solutions of the (2-4-1)-dimensional Boussinesq equa- tion[J]. Applied Mathematics and Computation, 2012,219(8):3414-3419.
  • 6SONG Ming, SHAO Shuguang. Exact solitary wave solutions of the generalized (2+ 1)-dimensional Boussinesq e- quation[J].Applied Mathematics and Computation, 2010,217 (7) : 3557-3563.
  • 7WEN Zhenshu. Bifurcation of solitons, peakons, and periodic cusp waves for 0-equation[J]. Nonlinear Dynamics, 2014,77(1/2):247-253.
  • 8WEN Zhenshu. Several new types of bounded wave solutions for the generalized two-component Camassa-Holm e- quation[J]. Nonlinear Dynamics, 2014,77(3) : 849-857.
  • 9WEN Zhenshu. Bifurcations and nonlinear wave solutions for the generalized two-component integrable Dullin-Gott- wald-Holm system[J].Nonlinear Dynamics, 2015,82 (1/2) : 767-781.
  • 10WEN Zhenshu. Extension on peakons and periodic cusp waves for the generalization of the Camassa-Holm equation [J]. Mathematical Methods in the Applied Sciences,2015,38(ll):2363-2375.

引证文献2

二级引证文献1

华侨大学学报（自然科学版）
2014年 第5期

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