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Second order Lax pairs of nonlinear partial differential equations with Schwarz variants | | Sen-yue Lou
; Xiao-yan Tang
; Qing-Ping Liu
; T. Fukuyama
; | | Date: |
24 Aug 2001 | | Subject: | Exactly Solvable and Integrable Systems; Pattern Formation and Solitons | nlin.SI nlin.PS | | Abstract: | 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. | | Source: | arXiv, nlin.SI/0108045 | | Services: | Forum | Review | PDF | Favorites | |
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