Methods of geometry of differential equations in analysis of the integrable field theory models
| dc.creator | Kiselev, Arthemy V. | |
| dc.date | 2004-06-17 | |
| dc.date.accessioned | 2026-07-07T05:35:37Z | |
| dc.date.available | 2026-07-07T05:35:37Z | |
| dc.description | In this paper, we investigate the algebraic and geometric properties of the hyperbolic Toda equations $u_{xy}=\exp(Ku)$ associated with nondegenerate symmetrizable matrices $K$. A hierarchy of analogs to the potential modified Korteweg-de Vries equation $u_t=u_{xxx}+u_x^3$ is constructed, and its relation with the hierarchy for the Korteweg-de Vries equation $T_t=T_{xxx}+TT_x$ is established. Group-theoretic structures for the dispersionless (2+1)-dimensional Toda equation $u_{xy}=\exp(-u_{zz})$ are obtained. Geometric properties of the multi-component nonlinear Schrödinger equation type systems $Ψ_t = iΨ_{xx} + i f(|Ψ|) Ψ$ (multi-soliton complexes) are described. | |
| dc.description | LaTeX2e, 134 pages, no figures, uses diagrams.tex. Submitted to: Fundamental'naya i Prikladnaya Matematika/J. Math. Sci | |
| dc.identifier | https://arxiv.org/abs/nlin/0406036 | |
| dc.identifier | http://arxiv.org/abs/nlin/0406036 | |
| dc.identifier | Fundamental'naya i Prikladnaya Matematika 10 (2004) n.1 "Geometry of Integrable Models", 57-165. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80757 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Methods of geometry of differential equations in analysis of the integrable field theory models | |
| dc.type | text |