The integrable initial-boundary value problem on a semiline: nonlinear Schrodinger and sine-Gordon equations
Autor: | V O Tarasov |
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Rok vydání: | 1991 |
Předmět: |
Bäcklund transform
Integrable system Inverse scattering transform Applied Mathematics Mathematical analysis sine-Gordon equation Inverse problem Computer Science Applications Theoretical Computer Science Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems Signal Processing Initial value problem Boundary value problem Mathematical Physics Mathematics |
Zdroj: | Inverse Problems. 7:435-449 |
ISSN: | 1361-6420 0266-5611 |
Popis: | The initial-boundary value problem on a semiline for the nonlinear Schrodinger or sine-Gordon equation is reduced to the problem on a line with special symmetry conditions. These conditions can be written in terms of scattering data in the framework of the inverse scattering transform. The reduction is done by means of a Backlund transform. |
Databáze: | OpenAIRE |
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