中国物理B ›› 2005, Vol. 14 ›› Issue (1): 17-20.doi: 10.1088/1009-1963/14/1/004

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An extended Jacobian elliptic function method for the discrete mKdV lattice

朱加民, 马正义   

  1. Department of Physics, Lishui University, Lishui 323000,China
  • 收稿日期:2004-06-02 修回日期:2004-07-16 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:
    the National Natural Science Foundation of China(GrantNo 10172056) and the Youth Foundation of Lishui University (Grant No QN04008)

An extended Jacobian elliptic function method for the discrete mKdV lattice

Zhu Jia-Min (朱加民), Ma Zheng-Yi (马正义)   

  1. Department of Physics, Lishui University, Lishui 323000,China
  • Received:2004-06-02 Revised:2004-07-16 Online:2005-01-20 Published:2005-01-20
  • Supported by:
    the National Natural Science Foundation of China(GrantNo 10172056) and the Youth Foundation of Lishui University (Grant No QN04008)

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摘要： In this paper, the discrete mKdV lattice is solved by using the modified Jacobian elliptic function expansion method. As a consequence, abundant families of Jacobian elliptic function solutions are obtained. When the modulus $m\rightarrow 1$, these periodic solutions degenerate to the corresponding solitary wave solutions, includingbell-type and kink-type excitations.

关键词: discrete mKdV lattice, Jacobian elliptic function expansion method, bell-type solitary, kink-type solitary

Abstract: In this paper, the discrete mKdV lattice is solved by using the modified Jacobian elliptic function expansion method. As a consequence, abundant families of Jacobian elliptic function solutions are obtained. When the modulus $m\rightarrow 1$, these periodic solutions degenerate to the corresponding solitary wave solutions, includingbell-type and kink-type excitations.

Key words: discrete mKdV lattice, Jacobian elliptic function expansion method, bell-type solitary, kink-type solitary

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  • 0340