A general coupled derivative nonlinear Schrödinger system: Darboux transformation and soliton solutions

DOI10.1007/s44198-024-00212-1zbMATH Open1544.35155MaRDI QIDQ6598059

Yonghui Kuang

Publication date: 4 September 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Darboux transformroguehigher-order solitongeneral coupled derivative nonlinear Schrödinger system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Unnamed Item
• The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions
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• Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
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• Darboux transformation for a two-component derivative nonlinear Schrödinger equation
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• An exact solution for a derivative nonlinear Schrödinger equation
• The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
• The Two Component Derivative Nonlinear Schrodinger Equation
• Integrable properties of the general coupled nonlinear Schrödinger equations
• AnN-soliton solution to the DNLS equation based on revised inverse scattering transform
• The Hamiltonian formalism of the DNLS equation with a nonvanished boundary value
• Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition

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