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Riemann–Hilbert approach and N-soliton solutions of the coupled generalized Sasa–Satsuma equation

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Abstract

We investigate the initial value problem for the coupled generalized Sasa–Satsuma equation. Firstly, based on the spectral analysis from Lax pair, we obtain desired analytic spectral functions, and a Riemann–Hilbert problem on the real line is formulated. Solving the special Riemann–Hilbert problem with reflectionless case, the N-soliton solutions of the coupled generalized Sasa–Satsuma equation are derived. In addition, by choosing suitable parameters, the structures of single-soliton solution and double-soliton solution are graphically presented.

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Acknowledgements

The authors are very grateful to the referees for their valuable comments. This work is supported by the National Natural Science Foundation of China, Grant No.11901141.

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  1. School of Science, Hangzhou Dianzi University, Hangzhou, 310018, Zhejiang, China

    Fan Wu & Lin Huang

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  1. Fan Wu
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Wu, F., Huang, L. Riemann–Hilbert approach and N-soliton solutions of the coupled generalized Sasa–Satsuma equation. Nonlinear Dyn 110, 3617–3627 (2022). https://doi.org/10.1007/s11071-022-07774-z

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  • DOI: https://doi.org/10.1007/s11071-022-07774-z

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