Action-Angle Representation of Multisolitons by Potentials of Mastersymmetries
Author(s) -
Gudrun Oevel,
Benno Fuchssteiner,
Maciej Błaszak
Publication year - 1990
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.83.395
Subject(s) - physics , eigenvalues and eigenvectors , scalar (mathematics) , action (physics) , representation (politics) , homogeneous space , algebra over a field , mathematical physics , algebraic number , operator (biology) , recursion (computer science) , pure mathematics , field (mathematics) , theoretical physics , quantum mechanics , mathematical analysis , mathematics , geometry , algorithm , biochemistry , chemistry , repressor , politics , political science , transcription factor , law , gene
Using the algebra of symmetries/mastersymmetries a purely alge- braic construction for the action/angle representation of multisolitons is given. By the same method an explicit construction of the potentials of the eigen- states of the recursion operator is performed in terms of partial derivatives of a fundamental scalar field.
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