Dispersionless (3+1)-dimensional integrable hierarchies
Copyright policy )Dispersionless (3+1)-dimensional integrable hierarchies
In this paper, we introduce a multi-dimensional version of the R -matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the type recently introduced in Sergyeyev (2014 ( http://arxiv.org/abs/1401.2122 )).
- Adam Mickiewicz University in Poznań Poland
- Silesian University in Opava Czech Republic
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Lax pairs, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, \((3+1)\)-dimensional integrable systems, Applications of Lie algebras and superalgebras to integrable systems, dispersionless systems, contact bracket, Exactly Solvable and Integrable Systems (nlin.SI), \(R\)-matrix
Nonlinear Sciences - Exactly Solvable and Integrable Systems, Lax pairs, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, \((3+1)\)-dimensional integrable systems, Applications of Lie algebras and superalgebras to integrable systems, dispersionless systems, contact bracket, Exactly Solvable and Integrable Systems (nlin.SI), \(R\)-matrix
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