期刊文献+

三维空间中Klein-Gordon-Zakharov方程的精确解 被引量:6

Exact Solutions to the Klein-Gordon-Zakharov Equations in Three Space Dimensions
下载PDF
导出
摘要 运用改进的tanh函数法,利用一种新的Riccati方程得到三维空间中Klein-Gordon-Zakharov方程的精确解.包括sech型的孤子解、tanh型的孤子解、三角函数的周期解、有理解、Jacoobi椭圆函数解,共5种类型的13组解. In this paper, by using a new class of Riccati equations and the extended tanh-fuction method, exact solutions of the Klein-Gordon-Zakharov equations in three space dimensions are constructed. The solutions not only include sech-solition solutions, tanh-soliton solutions, rational solutions, but also include triangle function periodic solutions and Jacobi ellipse ruction solutions. Total- ly there are thirteen solutions which are of five different type of function.
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期262-265,共4页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金预研基金 四川省教育厅自然科学重点基金资助项目
关键词 Klein-Gordon—Zakharov方程 孤子解 三角函数解 有理解 椭圆函数解 Klein-Gordon-Zakharov equations Solition solutions Triangle function solutions Tational solutions Wllipse fuction solutions
  • 相关文献

参考文献7

  • 1Dendy R O.Plasma Dynamics[M].Oxford:Oxford University Press,1990.
  • 2Zakharov V E.Collapse of Langmuir waves[J].Sov Phys JETP,1972,35:908-914.
  • 3Ozawa T,Tsutaya K,Tsutsumi Y.Well-posedness in energy space for Cauch problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions[J].Math Ann,1999,313:127-207.
  • 4Gan Z,Zhang J.Instability of standing waves for Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions[J].J Math Anal Appli,2005,307(1):219-231.
  • 5周钰谦,吴曦,张健.一类反应扩散方程的新精确解[J].四川师范大学学报(自然科学版),2003,26(5):448-451. 被引量:18
  • 6周钰谦,张健.推广的B-BBM方程的显示孤立波解[J].四川师范大学学报(自然科学版),2004,27(1):35-38. 被引量:16
  • 7刘妍丽,张健.一类非线性发展方程的孤波解[J].四川师范大学学报(自然科学版),2003,26(2):124-126. 被引量:25

二级参考文献20

  • 1王明新.非线形抛物方程[M].北京:科学出版社,1993.139-180.
  • 2Constantin P, Foias C, Teman R. Integeal Manifolds and Inertial Manifolds for Dissipative Partial Differential Equation[M]. New York:Sparinger-Verlag, 1989.111 - 118.
  • 3Eilenberger G. Solitons-mathematical Methods for Physicists[M]. New York:Springer-Verlag, 1981.4 - 35.
  • 4Zhang G X, Li Z B, Duan Y S. Exact solitary waves solutiom of nonlinear wave equatiom[J]. Sci Sin A,2000,44(3) :369 -401.
  • 5Lon S Y, Huang G X, Ruan Y. Exact solitary waves in a convecting fliud[J]. J Phys A: Math Gen, 1991,24(11):587 - 590.
  • 6Fan E G,Zhang H Q. A note on homogeneous balance method[J].Phys Lett A,1998,246:403 - 406.
  • 7Wang M L. Exact solution of a compound KdV-Burgers equation[J]. Phys Lett A,1996,213(5~6):279~287.
  • 8Wang M L, Zhou Y B. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J]. Phys Lett A,1996,216(1~5):67~75.
  • 9Wamg M L. Solitary wave solutions for variant Boussineaq equations[J]. Phys Lett A,1995,199(3~4):169~172.
  • 10Dey B. Domain wall solution of KdV like equation with higher order nonlinearity[J]. J Phys A:Math Gen,1986,19(1):9~12.

共引文献38

同被引文献91

引证文献6

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部