Canonical structure of soliton equations: II. The Kaup-Newell system

DOI10.1016/0167-2789(82)90050-1zbMath1194.35350OpenAlexW1639081783MaRDI QIDQ995147

J. Martínez

Publication date: 13 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(82)90050-1

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (6)

Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model ⋮ On the Dissipative Evolution Equations Associated with the Zakharov-Shabat System with a Quadratic Spectral Parameter ⋮ An integrable lattice equation related to the nKN system ⋮ On generating equations for the Kaup-Newell hierarchy ⋮ Infinitesimal symmetries and conservation laws of the DNLSE hierarchy and the Noether's theorem ⋮ Explicit quasi-periodic solutions of the Kaup-Newell hierarchy

Cites Work

• Canonical structure of soliton equations. I
• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions
• Geometric approach to soliton equations
• Geometric theory of local and non-local conservation laws for the sine-Gordon equation
• 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
• The Two Component Derivative Nonlinear Schrodinger Equation

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