Bäcklund transformations related to the Kaup-Newell spectral problem

DOI10.1016/0167-2789(83)90281-6zbMath0584.35075OpenAlexW2071591769MaRDI QIDQ1070447

F. Pempinelli, M. Boiti, C. Laddomada, Gue-Zhang Tu

Publication date: 1983

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(83)90281-6

zbMATH Keywords

Bäcklund and self-Bäcklund transformationsgeneralized gauge transformationsisospectral deformation equationsKaup- Newell spectral problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Bäcklund transformations for the Jaulent-Miodek equations ⋮ Bäcklund transformations, soliton solutions and wave functions of Kaup–Newell and Wadati–Konno–Ichikawa systems ⋮ A recursive generation of local higher-order sine–Gordon equations and their Bäcklund transformation ⋮ On generating equations for the Kaup-Newell hierarchy ⋮ Canonical and Noncanonical Recursion Operators in Multidimensions ⋮ The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems ⋮ On application of Liouville type equations to constructing Bäcklund transformations ⋮ Explicit quasi-periodic solutions of the Kaup-Newell hierarchy

Cites Work

• Unnamed Item
• The inverse problem for a general \(n \times n\) spectral equation
• Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
• Bäcklund transformations connecting different isospectral deformation equations
• An exact solution for a derivative nonlinear Schrödinger equation
• The general structure of integrable evolution equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrals of nonlinear equations of evolution and solitary waves