Integrability test for evolutionary lattice equations of higher order. (May 2016)

• Record Type: Journal Article
• Authors: Adler, V.E.
• Is Part Of: Journal of symbolic computation. Volume 74(2016)
• Page Start: 125
• Page End: 139
• Publication Date: 2016-05
• Subjects: Volterra type lattice -- Higher symmetry -- Conservation law -- Integrability test -- Summation by parts -- Computer algebra; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2015.05.008
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: A generalized summation by parts algorithm is presented for solving of difference equations of the form T m ( y ) − a y = b with variable coefficients, where T denotes the shift operator. Solvability of equations of this type with respect to the coefficients of formal symmetry (or formal recursion operator) provides a convenient integrability test for evolutionary differential-difference equations u, t = f ( u − m, …, u m ) .