Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation

DOI10.1016/j.aml.2023.108602zbMath1514.35419OpenAlexW4319231736MaRDI QIDQ6103140

Tie-cheng Xia, Yingmin Yang, Tongshuai Liu

Publication date: 26 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108602

zbMATH Keywords

Darboux transformationsoliton-solutionnonlocal Kundu-Eckhaus equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (1)

Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation

Cites Work

• Darboux transformation and rogue wave solutions for the variable-coefficients coupled Hirota equations
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• Integrable hierarchy of higher nonlinear Schrödinger type equations
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• The Kundu–Eckhaus equation and its discretizations
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• Nonlocal symmetries and Darboux transformations of the Camassa–Holm equation and modified Camassa–Holm equation revisited
• Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method

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