Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation

作者：Luo Lin^*; Wu Luo

来源：Applied Mathematics and Computation, 2010, 217(6): 2821-2826.

DOI：10.1016/j.amc.2010.08.017

• Toda lattice equation
• Hirota bilinear method
• Riemann theta function
• Two-periodic wave solutions

In this paper, two-periodic wave solutions are constructed for the (2 + 1)-dimensional generalized Toda lattice equation by using Hirota bilinear method and Riemann theta function. At the same time, we analyze in details asymptotic properties of the two-periodic wave solutions and give their asymptotic relations between the periodic wave solutions and the soliton solutions.

• 出版日期2010-11-15
• 单位上海第二工业大学