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[كتاب][B] Continuous symmetries and integrability of discrete equations
D Levi, P Winternitz, RI Yamilov - 2023 - books.google.com
This book on integrable systems and symmetries presents new results on applications of
symmetries and integrability techniques to the case of equations defined on the lattice. This …
symmetries and integrability techniques to the case of equations defined on the lattice. This …
Novel soliton molecule solutions for the second extend (3+ 1)-dimensional Jimbo-Miwa equation in fluid mechanics
H Ma, X Chen, A Deng - Communications in Theoretical Physics, 2023 - iopscience.iop.org
The main aim of this paper is to investigate the different types of soliton molecule solutions of
the second extend (3+ 1)-dimensional Jimbo-Miwa equation in a fluid. Four different …
the second extend (3+ 1)-dimensional Jimbo-Miwa equation in a fluid. Four different …
Generalized symmetry classification of discrete equations of a class depending on twelve parameters
We carry out the generalized symmetry classification of polylinear autonomous discrete
equations defined on the square, which belong to a twelve-parametric class. The direct …
equations defined on the square, which belong to a twelve-parametric class. The direct …
On Symmetries of Integrable Quadrilateral Equations
J Cheng, J Liu, D Zhang - Symmetry, 2024 - mdpi.com
In the paper, we describe a method for deriving generalized symmetries for a generic
discrete quadrilateral equation that allows a Lax pair. Its symmetry can be interpreted as a …
discrete quadrilateral equation that allows a Lax pair. Its symmetry can be interpreted as a …
Classification of five-point differential-difference equations
Using the generalized symmetry method, we carry out, up to autonomous point
transformations, the classification of integrable equations of a subclass of the autonomous …
transformations, the classification of integrable equations of a subclass of the autonomous …
Recursion operators, conservation laws, and integrability conditions for difference equations
We attempt to propose an algebraic approach to the theory of integrable difference
equations. We define the concept of a recursion operator for difference equations and show …
equations. We define the concept of a recursion operator for difference equations and show …
Classification of five-point differential–difference equations II
Using the generalized symmetry method we finish a classification, started in article
(Garifullin et al 2017 J. Phys. A: Math. Theor. 50 125201), of integrable autonomous five …
(Garifullin et al 2017 J. Phys. A: Math. Theor. 50 125201), of integrable autonomous five …
Generalized symmetry integrability test for discrete equations on the square lattice
We present an integrability test for discrete equations on the square lattice, which is based
on the existence of a generalized symmetry. We apply this test to a number of equations …
on the existence of a generalized symmetry. We apply this test to a number of equations …
Symmetry-preserving numerical schemes
In these lectures we review two procedures for constructing finite difference numerical
schemes that preserve symmetries of differential equations. The first approach is based on …
schemes that preserve symmetries of differential equations. The first approach is based on …
[PDF][PDF] Algebraic entropy for systems of quad equations
In this work I discuss briefly the calculation of the algebraic entropy for systems of quad
equations. In particular, I observe that since systems of multilinear equations can have …
equations. In particular, I observe that since systems of multilinear equations can have …