Integrable systems and squared eigenfunctions

DOI10.1007/s11232-009-0069-4zbMath1175.81127OpenAlexW2037679576MaRDI QIDQ1034474

D. J. Kaup

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0069-4

zbMATH Keywords

perturbationinverse scattering problemdirect scattering problemsquared eigenfunction

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse scattering problems in quantum theory (81U40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

• The generating operator for the n \(\times n\) linear system
• Nonlinear Schrödinger equations and simple Lie algebras
• Essentially nonlinear one-dimensional model of classical field theory
• Closure of the squared Zakharov-Shabat eigenstates
• Inverse-scattering problem for a system of differential equations
• The squared eigenstates of the sine–Gordon eigenvalue problem
• Method for Solving the Korteweg-deVries Equation
• Squared eigenfunctions for the Sasa–Satsuma equation
• An exact solution for a derivative nonlinear Schrödinger equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• The squared eigenfunctions of the massive Thirring model in laboratory coordinates
• Integrals of nonlinear equations of evolution and solitary waves
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