Darboux Transformation and Exact Solutions for Two Dimensional A(2)2n-1 Toda Equations*

Citation:

Zixiang ZHOU.Darboux Transformation and Exact Solutions for Two Dimensional A(2)2n-1 Toda Equations*[J].Chinese Annals of Mathematics B,2022,43(5):833~844
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Authors:

Zixiang ZHOU;

Foundation:

National Natural Science Foundation of China (No. 11971114) and the Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education of China.
Abstract: The Darboux transformation for the two dimensional A(2)2n-1 Toda equations is constructed so that it preserves all the symmetries of the corresponding Lax pair. The expression of exact solutions of the equation is obtained by using Darboux transformation.

Keywords:

Two dimensional affine Toda equation, Exact solutions, Darboux transformation

Classification:

35Q51, 35Q58, 37K10
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