On Computer-assisted Classification of Coupled Integrable Equations
Copyright policy )On Computer-assisted Classification of Coupled Integrable Equations
The authors give a classification of (nondecouplable) coupled fifth-order evolution equations, polynomial of scale weight seven with dependent variables having scale weight two, having a generalized symmetry of order seven. The statement of their results, that all such systems are in fact known, appears in Theorem 3.5. These results are obtained using computer algebra, in particular using a triangularization algorithm developed by one of the authors.
- University of Lille France
Computational Mathematics, Algebra and Number Theory, KdV equations (Korteweg-de Vries equations), coupled integrable equations, evolution equations, triangularization algorithm, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory
Computational Mathematics, Algebra and Number Theory, KdV equations (Korteweg-de Vries equations), coupled integrable equations, evolution equations, triangularization algorithm, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Symbolic computation and algebraic computation, Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!