Reflectionless potentials and soliton series of the KdV equation

DOI10.1007/BF01083526zbMath0826.35111OpenAlexW2076740393MaRDI QIDQ1311518

Victor Yu. Novokshenov

Publication date: 3 March 1994

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

Full work available at URL: https://doi.org/10.1007/bf01083526

zbMATH Keywords

Schrödinger equationdiscrete spectruminfinite system of Riccati- type ordinary differential equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items

A New Class of Soliton Solutions for the (Modified) Kadomtsev-Petviashvili Equation, Zero-dispersion limit to the Korteweg-de Vries equation: a dressing chain approach, Reflectionless potentials and soliton series of the nonlinear Schrödinger equation, Toda soliton limits on general backgrounds

Cites Work

• The infinite-dimensional dressing dynamical system
• ASSOCIATED STURM-LIOUVILLE SYSTEMS
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