Description

Book Synopsis
Focuses 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 relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices.

Table of Contents
  • Introduction
  • Integrability and symmetries of nonlinear differential and difference equations in two independent variables
  • Symmetries as integrability criteria
  • Construction of lattice equations and their Lax pair
  • Transformation groups for quad lattice equations
  • Algebraic entropy of the nonautonomous Boll equations
  • Translation from Russian of R. I. Yamilov, ''On the classification of discrete eqautions'', reference [841]
  • No quad-graph equation can have a generalized symmetry given by the narita-Itoh-Bogoyavlensky equation
  • Bibliography
  • Subject Index

Continuous Symmetries and Integrability of

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    A Hardback by Decio Levi, Pavel Winternitz, Ravil I. Yamilov

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      Publisher: MP-AMM American Mathematical
      Publication Date: 4/15/2023 12:00:00 AM
      ISBN13: 9780821843543, 978-0821843543
      ISBN10: 0821843540
      Also in:
      Mathematics Discrete mathematics Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      Focuses 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 relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices.

      Table of Contents
      • Introduction
      • Integrability and symmetries of nonlinear differential and difference equations in two independent variables
      • Symmetries as integrability criteria
      • Construction of lattice equations and their Lax pair
      • Transformation groups for quad lattice equations
      • Algebraic entropy of the nonautonomous Boll equations
      • Translation from Russian of R. I. Yamilov, ''On the classification of discrete eqautions'', reference [841]
      • No quad-graph equation can have a generalized symmetry given by the narita-Itoh-Bogoyavlensky equation
      • Bibliography
      • Subject Index

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