On the 3-Wave Equations with Constant Boundary Conditions
| Data(s) |
08/12/2013
08/12/2013
2012
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|---|---|
| Resumo |
2010 Mathematics Subject Classification: 37K40, 35Q15, 35Q51, 37K15. The inverse scattering transform for a special case of the 3- wave resonant interaction equations with non-vanishing boundary conditions is studied. The Jost solutions and the fundamental analytic solutions (FAS) for the associated spectral problem are constructed. The inverse scattering problem for the Lax operator is formulated as a Riemann-Hilbert problem on a Riemannian surface. The spectral properties of the Lax operator are formulated. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 217p-236p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Inverse Scattering Transform #3-wave equations #Lax representation #Spectral Theory #Fundamental Analytic Solutions |
| Tipo |
Article |
