Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 214-223.

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Traveling Waves for 2-1 Dimension Lattice Difference Equations 

  

  1. Department of Mathematics, Yanbian University

  • Received:2011-10-10 Online:2013-06-30 Published:2023-03-02
  • About author:HOU Cheng-min(1963-), female, native of Yanji, Jilin, a professor of Yanbian University, M.S.D., engages in discrete dynamics system.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11161049)

Abstract: A definition is introduced about traveling waves of 2-1 dimension lattice difference equations. Discrete heat equation is introduced and a discussion is given for the existence of traveling waves. The theory of traveling waves is extended on 2-1 dimension lattice difference equations. As an application, an example is presented to illustrate the main results.

Key words: traveling waves, lattice difference equations, discrete heat equation

CLC Number: