Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential Difference Equations

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Tarih

2012

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Yayıncı

Springer-Verlag Berlin

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Algorithms for the symbolic computation of polynomial conservation laws, generalized symmetries, and recursion operators for systems of nonlinear differential difference equations (DDEs) are presented. The algorithms can be used to test the complete integrability of nonlinear DDEs. The ubiquitous Toda lattice illustrates the steps of the algorithms, which have been implemented in Mathematica. The codes INVARIANTSSYMMETRIES.M and DDERECURSIONOPERATOR.M can aid researchers interested in properties of nonlinear DDEs.

Açıklama

3rd Conference on Nonlinear Science and Complexity (NSC 2010) -- JUL 27-31, 2010 -- Cankaya Univ, Ankara, TURKEY

Anahtar Kelimeler

Marciniak Lattice Equations; Evolution-Equations; Soliton-Equations; Integrability; Systems

Kaynak

Dynamical Systems And Methods

WoS Q Değeri

N/A

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