期刊文献+

Application of Rational Expansion Method for Differential-Difference Equation

Application of Rational Expansion Method for Differential-Difference Equation
下载PDF
导出
摘要 In this paper, we applied the rational formal expansion method to construct a series of sofiton-like and period-form solutions for nonlinear differential-difference equations. Compared with most existing methods, the proposed method not only recovers some known solutions, but also finds some new and more general solutions. The efficiency of the method can be demonstrated on Toda Lattice and Ablowitz-Ladik Lattice.
作者 王琪
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第12期981-986,共6页 理论物理通讯(英文版)
基金 Supported by Leading Academic Discipline Program 211 Project for Shanghai University of Finance and Economics(the 3rd Phase)
关键词 rational expansion method Toda lattice Ablowitz-Ladik lattice 微分差分方程 应用 理性 形式解 非线性 周期
  • 相关文献

参考文献29

  • 1E. Fermi, J. Pasta, and S. Ulam, Collected Papers of En- rico Fermi II, Univ. of Chicago Press, Chicago, IL (1965).
  • 2M. Wadati and M. Toda, J. Phys. Soc. Jpn. 39 (1975) 1196.
  • 3W. Hereman, J.A. Sanders, J. Sayers, and J.P. Wang, CRM Proceedings and Lecture Series 39 (2005) 267.
  • 4D. Levi and O. Ragnisco, Lett. Nuovo. Cimento. 22 (1978) 691.
  • 5R.I. Yamilov, Classification of Toda Type Scalar Lattices. Proc 8th int Workshop on Nonlinear Evolution equations and Dynamical Systems, Singapore World Scientific, Sin- gapore (1993).
  • 6S.I. Svinolupov and R.I. Yamilov, Phys. Lett. A 160 (1991) 548.
  • 7V.E. Adler, S.I. Svinolupov, and R.I. Yamilov, Phys. Lett. A 254 (1999) 24.
  • 8I.Y. Cherdantsev and R.I. Yamilov, CRM Proceedings and Lecture Series 9 (1996) 51.
  • 9A.B. Shabat and R.I. Yamilov, Leningrad Math. J. 2 (1991) 377.
  • 10A.V. Mikhailov, A.B. Shabat, and V.V. Sokolov, The symmetry Approach to Classification of Integrable Equa- tions, In: ed. Zakharov VE, What is Integrability? Springer-Verlag, Berlin (1990).

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