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(3+1)维ZK方程的孤立波解 被引量:2

Multi-solitary wave solutions of the(3+1)-dimensional ZK equation
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摘要 采用变换和拟设相结合的方法得到了(3+1)维Zakharov-Kuznetsov(ZK)方程的几组精确解,包括周期波解、单孤子解和双孤子解. Some exact solution,involving the periodical solution,single soliton solution and double soliton solution are obtained for the(3+1)-dimensional Zakharov-Kuznetsov(ZK) equation by using transformations.
出处 《西北师范大学学报(自然科学版)》 CAS 北大核心 2012年第1期41-43,共3页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(11047010) 教育部科学技术研究重点项目(209128) 西北师范大学科技创新工程资助项目(NWNU-KJCXGC-03-53)
关键词 ZK方程 精确解 孤立波解 周期波解 ZK equation exact solution solitary wave solution periodical solution
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参考文献6

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二级参考文献25

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共引文献6

同被引文献24

  • 1谢元喜,唐驾时.求一类非线性偏微分方程精确解的简化试探函数法[J].动力学与控制学报,2005,3(1):15-18. 被引量:16
  • 2吴丽萍,庞春平.一类耦合非线性微分方程的精确行波解[J].云南民族大学学报(自然科学版),2006,15(1):19-21. 被引量:3
  • 3石玉仁,杨红娟,吕克璞,段文山.(3+1)维KP方程的Backlund变换及其精确解[J].西北师范大学学报(自然科学版),2006,42(4):34-37. 被引量:4
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  • 7YAO Yu-qin. Abundant families of new travelingwave solutions for the coupled Drinfel’d-Sokolov-Wilson equation [J]. Chaos Solitons Fract . 2005.24: 301- 307.
  • 8INC M. On numerical doubly periodic wave solutionsof the coupled Drinferd-Sokolov-Wilson equation bythe decomposition method [J]. Appl Math Com put,2006, 172: 421-430.
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  • 10WAZWAZ A. Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations [ J ]. Chaos Solitons Fractals, 2006, 28(1).. 127.

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