منابع مشابه
Binary Nonlinearization of Lax Pairs
A kind of Bargmann symmetry constraints involved in Lax pairs and adjoint Lax pairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs are nonlinearized into a hierarchy of commutative finite dimensional integrable Hamil-tonian systems and explicit integrals of motion may also be generated. The corresponding binary nonlinearization procedure leads to a sort of involutive sol...
متن کاملTrivially related lax pairs of the Sawada-Kotera equation
We show that a recently introduced Lax pair of the Sawada-Kotera equation is nota new one but is trivially related to the known old Lax pair. Using the so-called trivialcompositions of the old Lax pairs with a differentially constrained arbitrary operators,we give some examples of trivial Lax pairs of KdV and Sawada-Kotera equations.
متن کاملBoundary Lax pairs from non-ultra local Poisson algebras
We consider non-ultra local linear Poisson algebras on a continuous line. Suitable combinations of representations of these algebras yield representations of novel generalized linear Poisson algebras or “boundary” extensions. They are parametrized by a “boundary” scalar matrix and depend in addition on the choice of an antiautomorphism. The new algebras are the classical-linear counterparts of ...
متن کاملOn construction of recursion operators from Lax representation
In this work we develop a general procedure for constructing the recursion operators for non-linear integrable equations admitting Lax representation. Several new examples are given. In particular we find the recursion operators for some KdV-type systems of integrable equations.
متن کاملConformal Covariantization of Moyal-Lax Operators
A covariant approach to the conformal property associated with Moyal-Lax operators is given. By identifying the conformal covariance with the second Gelfand-Dickey flow, we covariantize Moyal-Lax operators to construct the primary fields of one-parameter deformation of classical W -algebras. PACS: 02.30.Ik; 11.10.Ef; 02.20.Tw
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2020
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.5121495