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Nonsingular positon and complexiton solutions for the coupled KdV system

H. C. Hu·Bin Tong·S. Y. Lou
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Abstract

Taking the coupled KdV system as a simple example, analytical and nonsingular complexiton solutions are firstly discovered in this letter for integrable systems. Additionally, the analytical and nonsingular positon-negaton interaction solutions are also firstly found for S-integrable model. The new analytical positon, negaton and complexiton solutions of the coupled KdV system are given out both analytically and graphically by means of the iterative Darboux transformations.

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H. C. Hu, Bin Tong, S. Y. Lou. 2005-09-07. Nonsingular positon and complexiton solutions for the coupled KdV system. https://doi.org/10.1016/j.physleta.2005.11.047

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