期刊文献+

Davey-Stewartson方程组的包络周期解和孤立波解 被引量:4

Envelope periodic and solitary solutions of Davey-Stewartson equation
原文传递
导出
摘要 应用Jacobi椭圆函数展开法,求得了Davey-Stewartson方程组的包络周期解和孤立波解. The Jacobi elliptic function expansion method is applied to construct the envelope periodic and solitary solutions to the Davey-Stewartson equation.
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2009年第4期2155-2158,共4页 Acta Physica Sinica
基金 国家自然科学基金(批准号:90511009)资助的课题~~
关键词 DAVEY-STEWARTSON方程 JACOBI椭圆函数 包络周期解 孤立波解 Davey-Stewartson equation,Jacobi elliptic function,envelope periodic solution,solitary solution
  • 相关文献

参考文献7

二级参考文献14

  • 1Ablowitz M J, Herbst B M, Constance Schober. On the numerical solution of the sine-Gordon equation- Ⅰ: Integrable discretizations and homoclinic manifolds [ J ]. Journal of Computational Physics, 1996,126(2): 299-314.
  • 2Ablowitz M J, Clarkson P A. Soliton, Nonlinear Evolution Equations and Inverse Scattering [ M].New York: Cambridge University Press, 1991.
  • 3Ablowitz M J, Herbst B M. On homoclinic structure and numerically induced chaos for the nonlinear Schrodinger equation[ J]. Society for Industrial and Applied Mathematics, 1990,50(2) :339-351.
  • 4Herbst B M, Ablowitz M J. Numerically induced chaos in the nonlinear Schrodinger equation[ J].Physical Review Letters, 1989,62(18) :2065-2068.
  • 5LI Yan-guang. Backlund transformations and homoclinic structures for the integrable discretization of the NLS equation[J]. Physics Letters A, 1992,163(3): 181-187.
  • 6HU Xing-biao, GUO Bo-ling, TAM Hon-wah. Homoclinic orbits for the coupled Schroinger-Boussinesq equation and coupled Higgs equation [ J ]. Journal of the Physical Society of Japan, 2003, 72( 1 ): 189-190.
  • 7GUO Bo-ling, WANG Bao-xiang. The Cauchy problem for Davey-Stewartson systems[ J]. Communications on Pure and Applied Mathematics, 1999,52( 12):1477-1490.
  • 8Li Y. Backlund-Darboux transformations and Melnikov analysis for Davey-Stewartson Ⅱ equations[J]. Journal of Nonlinear Science,2000,10( 1 ): 103-131.
  • 9Cipolatti R. On the instablity of ground states for a Davey-Stewartson systems [ J ]. Ann Inst H Poincaré Phys Théor, 1993,58( 1 ): 85-104.
  • 10HirotaR. Direct methods in soliton theory[ A] . In: Bullough R K, Caudrey P J Eds. Solitons[C].Berlin: Springer, 1980, 157-176.

共引文献355

同被引文献19

引证文献4

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