Second Order Integrability Conditions for Difference Equations: An Integrable Equation
Copyright policy )Second Order Integrability Conditions for Difference Equations: An Integrable Equation
Integrability conditions for difference equations admitting a second order formal recursion operator are presented and the derivation of symmetries and canonical conservation laws is discussed. In the generic case, nonlocal conservation laws are also generated. A new integrable equation satisfying the second order integrability conditions is presented and its integrability is established by the construction of symmetries, conservation laws and a 3x3 Lax representation. Finally, the relation of the symmetries of this equation to a generalized Bogoyavlensky lattice and a new integrable lattice are derived.
- University of Leeds United Kingdom
Symmetries, Lie group and Lie algebra methods for problems in mechanics, Lax pair, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Partial difference equations, difference equation, integrability condition, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, conservation law, Bogoyavlensky lattice, recursion operator, Exactly Solvable and Integrable Systems (nlin.SI), symmetry
Symmetries, Lie group and Lie algebra methods for problems in mechanics, Lax pair, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Partial difference equations, difference equation, integrability condition, Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems, conservation law, Bogoyavlensky lattice, recursion operator, Exactly Solvable and Integrable Systems (nlin.SI), symmetry
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