New integrable (3+1)-dimensional systems and contact geometry

2014/01/31 by A. Sergyeyev · 6 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math-ph #math.AP #math.DG #math.MP #msc:37K05 #msc:37K10 #msc:53D10 #nlin.SI

paper · pdf · doi:10.1007/s11005-017-1013-4

published as Lett. Math. Phys. 108 (2018), no. 2, 359-376 · 16 pages, LaTeX, no figures, revised and abridged, in this version (v5) the typos were fixed (including some that have unfortunately crept into the published version too), Letters in Mathematical Physics (2017)

openalex created_date 2017/10/06 · crossref issued 2017/10/20 · crossref published 2017/10/20 · crossref published-online 2017/10/20 · openalex publication_date 2017/10/20 · crossref created 2017/10/20 · arxiv created 2017/10/23 · arxiv updated 2018/01/25 · crossref published-print 2018/02/01 · crossref deposited 2019/10/04 · crossref indexed 2026/01/16 · openalex updated_date 2026/07/29

Abstract

We introduce a novel systematic construction for integrable (3+1)-dimensional dispersionless systems using nonisospectral Lax pairs that involve contact vector fields. In particular, we present new large classes of (3+1)-dimensional integrable dispersionless systems associated to the Lax pairs which are polynomial and rational in the spectral parameter.

Citations

• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT

Cited by

• Integrable (3+1)-dimensional systems with rational Lax pairs
• Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
• Integrable (3+1)-dimensional system with an algebraic Lax pair
• Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model
• Analysis of the symmetry group and exact solutions of the dispersionless KP equation in n + 1 dimensions
• Lax pair [wikipedia]

Related

• Contact Lax pairs and associated (3+1)-dimensional integrable dispersionless systems
• Dispersionless (3+1)-dimensional integrable hierarchies
• Deformations of dispersionless Lax systems
• Integrability via geometry: dispersionless differential equations in three and four dimensions
• On some linear equations associated with dispersionless integrable systems