The squared eigenstates of the sine–Gordon eigenvalue problem

DOI10.1063/1.526465zbMath0557.35109OpenAlexW2003310604MaRDI QIDQ3222639

D. J. Kaup

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526465

zbMATH Keywords

eigenvaluelaboratory coordinatessine-Gordon potentialssquared sine-Gordon eigenvalue problemsquared-eigenfunction expansion

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

The squared eigenfunctions of the massive Thirring model in laboratory coordinates ⋮ Linear integral transformations and hierarchies of integrable nonlinear evolution equations ⋮ Square eigenfunction approach to the Hamiltonian structure for a new hierarchy of nonlinear equations ⋮ Perturbation theory for nearly integrable multicomponent nonlinear PDEs ⋮ Completeness of the eigenfunctions for the Caudrey–Beals–Coifman system ⋮ Computation of generating symmetries ⋮ Squared eigenfunctions for the Sasa–Satsuma equation ⋮ Integrable systems and squared eigenfunctions

Cites Work

• Essentially nonlinear one-dimensional model of classical field theory
• Closure of the squared Zakharov-Shabat eigenstates
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Method for Solving the Sine-Gordon Equation in Laboratory Coordinates
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform

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