Symbolic computation of recursion operators for nonlinear differential-difference equations
Küçük Resim Yok
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Association for Scientific Research membranes@mdpi.com
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
An algorithm for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (DDEs) is presented. Recursion operators allow one to generate an infinite sequence of generalized symmetries. The existence of a recursion operator therefore guarantees the complete integrability of the DDE. The algorithm is based in part on the concept of dilation invariance and uses our earlier algorithms for the symbolic computation of conservation laws and generalized symmetries. The algorithm has been applied to a number of well-known DDEs, including the Kacvan Moerbeke (Volterra), Toda, and Ablowitz-Ladik lattices, for which recursion operators are shown. The algorithm has been implemented in Mathematica, a leading computer algebra system. The package DDE Recursion Operator.m is briefly discussed. © Association for Scientific Research. © 2020 Elsevier B.V., All rights reserved.
Açıklama
Anahtar Kelimeler
Conservation law, Generalized symmetry, Nonlinear differential-difference equation, Recursion operator
Kaynak
Mathematical and Computational Applications
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
16
Sayı
1
