Multi-breather solutions to the Sasa–Satsuma equation
@article{Wu2021MultibreatherST, title={Multi-breather solutions to the Sasa–Satsuma equation}, author={Chengfa Wu and Bo Wei and Changyan Shi and Bao-Feng Feng}, journal={Proceedings of the Royal Society A}, year={2021}, volume={478} }
General breather solution to the Sasa–Satsuma equation (SSE) is systematically investigated in this paper. We firstly transform the SSE into a set of three Hirota bilinear equations under a proper plane wave boundary condition. Starting from a specially arranged tau-function of the Kadomtsev–Petviashvili hierarchy and a set of 11 bilinear equations satisfied, we implement a series steps of reduction procedure, i.e. C-type reduction, dimension reduction and complex conjugate reduction, and…
4 Citations
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