BÄCKLUND TRANSFORMATION AND THE CONSTRUCTION OF THE INTEGRABLE BOUNDARY-VALUE PROBLEM FOR THE EQUATION uxx − utt = e u − e −2u.
In: http://arxiv.org/pdf/solv-int/9412001v1.pdf, 1994
Online
academicJournal
Zugriff:
Bäcklund transformation for the Bullough-Dodd-Jiber-Shabat equation uxx−utt = e u −e −2u is found. The construction of integrable boundary condition for this equation together with the algebro-geometric solutions satisfying it are suggested. 1. Introduction. Most features of integrability for nonlinear differential equations are considered on a base of the inverse scattering method for solving the initial-value Cauchy problem. They are not specific for the boundary-value problems for those equations. Exception are the special forms of boundary conditions preserving the integrability.
Titel: |
BÄCKLUND TRANSFORMATION AND THE CONSTRUCTION OF THE INTEGRABLE BOUNDARY-VALUE PROBLEM FOR THE EQUATION uxx − utt = e u − e −2u.
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Autor/in / Beteiligte Person: | Sharipov, R. A ; Yamilov, R. I ; The Pennsylvania State University CiteSeerX Archives |
Link: | |
Zeitschrift: | http://arxiv.org/pdf/solv-int/9412001v1.pdf, 1994 |
Veröffentlichung: | 1994 |
Medientyp: | academicJournal |
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