Unified approach to action-angle representation of real and complex multisolitons

DOI10.1016/0378-4371(92)90094-7zbMath0777.35069OpenAlexW2148378060MaRDI QIDQ686801

Gudrun Oevel, Benno Fuchssteiner

Publication date: 13 October 1993

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(92)90094-7

zbMATH Keywords

complex equationscomplex manifoldsmethod of complexificationcomplex-analytic equationseigenstates of the recursion operatorinteracting solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamics induced by flows and semiflows (37C10) Soliton equations (35Q51)

Related Items (1)

Algorithmic determination of infinite-dimensional symmetry groups for integrable systems in \(1+1\) dimensions

Cites Work

• Unnamed Item
• Action-angle representation of multisolitons
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Hamiltonian operators and algebraic structures related to them
• Additional symmetries for integrable equations and conformal algebra representation
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Action-Angle Representation of Multisolitons by Potentials of Mastersymmetries
• GEOMETRY AND ACTION-ANGLE VARIABLES OF MULTI SOLITON SYSTEMS
• The spectral theory of a functional-difference operator in conformal field theory
• Exact envelope-soliton solutions of a nonlinear wave equation

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