The soliton solutions for the Wadati-Konno-Ichikawa equation

DOI10.1016/j.aml.2019.07.026zbMath1426.35070OpenAlexW2965841476MaRDI QIDQ2275257

Yongshuai Zhang, Shuwei Xu

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.07.026

zbMATH Keywords

inverse scattering methodbound-state solitonGelfand-Levitan-Marchenko (GLM) equationOlmedilla's technique

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (6)

Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data ⋮ On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients ⋮ On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

Cites Work

• Multiple pole solutions of the nonlinear Schrödinger equation
• Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
• The Darboux transformation for the Wadati-Konno-Ichikawa system
• A New Integrable Nonlinear Evolution Equation
• New Integrable Nonlinear Evolution Equations
• Explicit auto-Backlund relation through gauge transformation
• N-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation

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