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arXiv · 2206.02210

General rogue wave solutions to the Sasa-Satsuma equation

Chengfa Wu·Guangxiong Zhang·Changyan Shi·Bao-Feng Feng
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Abstract

General rogue wave solutions to the Sasa-Satsuma equation are constructed by the Kadomtsev-Petviashvili (KP) hierarchy reduction method. These solutions are presented in three different forms. The first form is expressed in terms of recursively defined differential operators while the second form shares a similar solution structure except that the differential operators are no longer recursively defined. Instead of using differential operators, the third form is expressed by Schur polynomials.

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Chengfa Wu, Guangxiong Zhang, Changyan Shi, Bao-Feng Feng. 2022-06-05. General rogue wave solutions to the Sasa-Satsuma equation. https://arxiv.org/abs/2206.02210

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