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

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Zixiang Zhou

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  1. Zixiang Zhou
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Correspondence to Zixiang Zhou.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11971114) and the Key Laboratory of Mathematics for Nonlinear Sciences of Ministry of Education of China.

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Zhou, Z. Darboux Transformation and Exact Solutions for Two Dimensional A (2)2n−1 Toda Equations. Chin. Ann. Math. Ser. B 43, 833–844 (2022). https://doi.org/10.1007/s11401-022-0361-2

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  • DOI: https://doi.org/10.1007/s11401-022-0361-2

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