Second order Lax pairs of nonlinear partial differential equations with Schwarz variants
| dc.creator | Lou, Sen-yue | |
| dc.creator | Tang, Xiao-yan | |
| dc.creator | Liu, Qing-Ping | |
| dc.creator | Fukuyama, T. | |
| dc.date | 2001-08-24 | |
| dc.date | 2001-09-14 | |
| dc.date.accessioned | 2026-07-07T05:33:40Z | |
| dc.date.available | 2026-07-07T05:33:40Z | |
| dc.description | In this paper, we study the possible second order Lax operators for all the possible (1+1)-dimensional models with Schwarz variants and some special types of high dimensional models. It is shown that for every (1+1)-dimensional model and some special types of high dimensional models which possess Schwarz variants may have a second order Lax pair. The exiplicit Lax pairs for (1+1)-dimensional Korteweg de Vries equation, Harry Dym equation, Boussinesq equation, Caudry-Dodd-Gibbon-Sawada-Kortera equation, Kaup-Kupershmidt equation, Riccati equation, (2+1)-dimensional breaking soliton equation and a generalized (2+1)-dimensional fifth order equation are given. | |
| dc.description | 12 pages, 0 figures, LaTeX form | |
| dc.identifier | https://arxiv.org/abs/nlin/0108045 | |
| dc.identifier | http://arxiv.org/abs/nlin/0108045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80080 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Second order Lax pairs of nonlinear partial differential equations with Schwarz variants | |
| dc.type | text |