Inversible Max-Plus algebras and integrable systems
Copyright policy )Inversible Max-Plus algebras and integrable systems
We present an extended version of max-plus algebra which includes the inverse operator of “max.” This algebra enables us to ultradiscretize the system including subtractions and obtain new ultradiscrete equations. The known ultradiscrete equations can also be recovered by this construction.
- University of Tokyo Japan
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, General mathematical topics and methods in quantum theory, Cellular Automata and Lattice Gases (nlin.CG), FOS: Physical sciences, Associative rings and algebras arising under various constructions, Exactly Solvable and Integrable Systems (nlin.SI), Nonlinear Sciences - Cellular Automata and Lattice Gases
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, General mathematical topics and methods in quantum theory, Cellular Automata and Lattice Gases (nlin.CG), FOS: Physical sciences, Associative rings and algebras arising under various constructions, Exactly Solvable and Integrable Systems (nlin.SI), Nonlinear Sciences - Cellular Automata and Lattice Gases
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