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(2+1)维破裂孤子方程组的准确周期解(英文) 被引量:4

Exact periodic wave solutions for the (2+1)-dimensional breaking soliton system
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摘要 使用拓广的F-展开法,改进了其中的关键步骤,得出(2+1)维破裂孤子方程组的一些准确周期波解,在约化条件下,得到方程组的孤立波解和其他形式的精确解. In this paper,some new exact periodic wave solutions for the (2+1)-dimensional breaking soliton system were constructed with extended F-expansion method.This method can also be used to other nonlinear partial differential equations.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2006年第2期135-139,143,共6页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 ProjectSupportedbytheNationalNaturalScienceFoundationofChina(10461006),theNaturalScienceFoundationofInnerMongolia(200408020103),theHighEducationScienceResearchProgramofInnerMongolia(NJ02035)andtheYouthFoundationofInnerMongoliaNormalUniversity(QN004024)
关键词 F-展开法 (2+1)维破裂孤子方程组 JACOBI椭圆函数 周期波解 孤立波解 extended F-expansion method (2+1)-dimensional breaking soliton system Jacobi elliptic function periodic wave solution solitary wave solution
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  • 1[1]C. Yan, Phys. Lett. A224 (1996) 77.
  • 2[2]F. Bowman, Introduction to Elliptic Functions with Applications, Universities, London (1959).
  • 3[3]V. Prasolov and Y. Solovyev, Elliptic Functions and Elliptic Integrals, American Mathematical Society, Providence (1997).
  • 4[4]M.L. Wang, Phys. Lett. A199 (1995) 169.
  • 5[5]M.L. Wang, Y.B. Zhou, and Z.B. Li, Phys. Lett. A216(1996) 67.
  • 6[6]L. Yang, Z. Zhu, and Y. Wang, Phys. Lett. A260 (1999)55.
  • 7[7]L. Yang, J. Liu, and K. Yang, Phys. Lett. A278 (2001)267.
  • 8[8]E.J. Parkes and B.R. Duffy, Phys. Lett. A229 (1997) 217.
  • 9[9]E.G. Fan, Phys. Lett. A277 (2000) 212.
  • 10[10]S.K. Liu, Z.T. Fu, S.D. Liu, and Q. Zhao, Phys. Lett.A289 (2001) 69.

共引文献392

同被引文献27

  • 1谢元喜,唐驾时.对“求一类非线性偏微分方程解析解的一种简洁方法”一文的一点注记[J].物理学报,2005,54(3):1036-1038. 被引量:18
  • 2谢元喜.KdV和KdV-Burgers方程的直接解法[J].内蒙古师范大学学报(自然科学汉文版),2007,36(1):6-9. 被引量:4
  • 3徐传友,潘红.一类方程的B■klund变换和精确解[J].阜阳师范学院学报(自然科学版),2006,23(4):40-42. 被引量:1
  • 4Gardner C S, Greene J M, Kruskal M D, et al. The KdV equation and generalizations.VI, methods for exact solution[J]. Comm Pure Appl Math, 1974, 27: 97-133.
  • 5Matveev V B, Save M A. Darboux Transformations and Solitons[M]. Berlin: Heidelberg Spring- Verlag, 1991.
  • 6H Wu. On Bgcklund transformations for nonlinear partial differential equations[J]. J Math Anal Appl, 1995, 192: 151-179.
  • 7Wang Mingling. Solitary wave solutions for variant Boussinesq equation[J]. Phys Lett A. 1995. 199: 169-172.
  • 8Fall E G. Solition solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled mKdV equation[J]. Phys. Lett. A, 2001, 282: 18-22.
  • 9Wazwaz AM. Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form[J]. Commun. Nonlinear Scie. Num. Simul 2005(10): 597-606.
  • 10Sirendaoreji, Sun jiong. A direct method for solving Sine-Gordon type equations [J]. Physics Letters A, 2003, 309: 387-391.

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