Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 81-85.

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The Backlund Transformation and Explicit Solution of Volterra Lattice Equation 

  

  1. College of Mathematics and Computer Science, Zhanjiang Normal University
  • Received:2008-07-02 Online:2010-03-30 Published:2023-06-09
  • About author:WU Yong-qi(1965- ), male, native of Zhengzhou, Henan, an associate professor of Zhanjiang Normal University, Ph.D., engages in soliton and integrable system.
  • Supported by:
    Supported by the Science Research Foundation of Zhanjiang Normal University(L0803);

Abstract: The Backlund transformation and the generalized Miura transformation for the Volterra lattice equation are constructed by using point symmetry method. As an application, the explicit solution to the lattice equation is obtained.

Key words: Backlund transformation, Miura transformation, Volterra lattice equation;
explicit solution

CLC Number: