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Riemann–Hilbert approach and \(N\)-soliton solutions of the two-component Kundu–Eckhaus equation

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Abstract

We study the two-component Kundu–Eckhaus equation with a zero boundary condition at infinity. Based on the spectral analysis of the Lax pair, a Riemann–Hilbert problem is established. An \(N\)-soliton solution is then obtained by solving the regular and nonregular Riemann–Hilbert problems.

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Funding

This research is supported by the National Natural Science Foundation of China (grant No. 11871138).

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Authors and Affiliations

  1. School of Mathematical Sciences, Sichuan Normal University, Chengdu, China

    Chunjiang Wang

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China

    Jian Zhang

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  1. Chunjiang Wang
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  2. Jian Zhang
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Correspondence to Jian Zhang.

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The authors declare no conflicts of interest.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 212, pp. 386–402 https://doi.org/10.4213/tmf10171.

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Wang, C., Zhang, J. Riemann–Hilbert approach and \(N\)-soliton solutions of the two-component Kundu–Eckhaus equation. Theor Math Phys 212, 1222–1236 (2022). https://doi.org/10.1134/S0040577922090057

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  • DOI: https://doi.org/10.1134/S0040577922090057

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