Bäcklund transformations, soliton solutions and wave functions of Kaup–Newell and Wadati–Konno–Ichikawa systems

DOI10.1063/1.528794zbMath0704.58024OpenAlexW2041792924MaRDI QIDQ3484062

A. A. Rangwala, Jyoti A. Rao

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528794

zbMATH Keywords

nonlinear Schrödinger equationBäcklund transformationwave functionsoliton solution

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• Bäcklund transformations related to the Kaup-Newell spectral problem
• A Generalization of Inverse Scattering Method
• Explicit auto-Backlund relation through gauge transformation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• An exact solution for a derivative nonlinear Schrödinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On the Connection between Phase Shifts and Scattering Potential

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