Reflectionless sine-Gordon potentials with an infinite spectrum

DOI10.1007/BF02557320zbMath0944.35081OpenAlexW1997170890MaRDI QIDQ1567784

Alexander B. Borisov, Sergei A. Zykov

Publication date: 26 June 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557320

zbMATH Keywords

sine-Gordon equationpotentials with an infinite spectrumsine-Gordon \(L\)-operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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• Reflectionless potentials and soliton series of the nonlinear Schrödinger equation
• Dressing chains and the spectral theory of the Schrödinger operator
• The dressing chain of discrete symmetries and proliferation of nonlinear equations
• Construction of reflectionless potentials with infinite discrete spectrum
• The Painlevé property for partial differential equations
• Integrable boundary conditions for the Toda lattice
• Squeezed states for general systems

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