中国物理B ›› 2005, Vol. 14 ›› Issue (7): 1290-1295.doi: 10.1088/1009-1963/14/7/004

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Hyperbolic function method for solving nonlinear differential-different equations

朱加民   

  1. Department of Physics, Lishui University, Lishui 323000,China
  • 收稿日期:2004-10-21 修回日期:2004-12-03 出版日期:2005-06-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the NationalNatural Science Foundation of China (Grant No 10172056) and the Outstanding Youth Foundation of Lishui University, China (Grant No QN04008)

Hyperbolic function method for solving nonlinear differential-different equations

Zhu Jia-Min (朱加民)   

  1. Department of Physics, Lishui University, Lishui 323000, China
  • Received:2004-10-21 Revised:2004-12-03 Online:2005-06-20 Published:2005-06-20
  • Supported by:
    Project supported by the NationalNatural Science Foundation of China (Grant No 10172056) and the Outstanding Youth Foundation of Lishui University, China (Grant No QN04008)

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摘要： An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the discrete nonlinear (2+1)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions.

关键词: discrete (2+1)-dimensional Toda lattice equation, discretized mKdV lattice equation, travelling wave solutions, hyperbolic function approach

Abstract: An algorithm is devised to obtained exact travelling wave solutions of differential-different equations by means of hyperbolic function. For illustration, we apply the method to solve the discrete nonlinear (2+1)-dimensional Toda lattice equation and the discretized nonlinear mKdV lattice equation, and successfully constructed some explicit and exact travelling wave solutions.

Key words: discrete (2+1)-dimensional Toda lattice equation, discretized mKdV lattice equation, travelling wave solutions, hyperbolic function approach

中图分类号:  (Lattice theory and statistics)

  • 05.50.+q
05.45.-a (Nonlinear dynamics and chaos) 02.30.-f (Function theory, analysis) 45.05.+x (General theory of classical mechanics of discrete systems)