Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation |
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| Authors: | Lin Luo Luo Wu |
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| Institution: | Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, PR China |
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| Abstract: | 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. |
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| Keywords: | Toda lattice equation Hirota bilinear method Riemann theta function Two-periodic wave solutions |
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