Reduction on the dressing chain of the Schrödinger operator

DOI10.1007/BF02551031zbMath0968.35101OpenAlexW2034388040MaRDI QIDQ1592177

M. Yu. Kulikov, Vladimir Novikov

Publication date: 18 September 2001

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

Full work available at URL: https://doi.org/10.1007/bf02551031

zbMATH Keywords

compact representations for the multisoliton and breather solutionsdressing chain of the Schrödinger operatorreal finite-gap solutions of the focusing modified Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Soliton dynamics in the complex modified KdV equation with a periodic potential

Cites Work

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• Generation of soliton pairs in nonlinear media with weak dissipation
• Dressing chains and the spectral theory of the Schrödinger operator
• Recuttings of polygons
• The infinite-dimensional dressing dynamical system
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• Third version of the dressing method