Closed Form Solutions of Integrable Nonlinear Evolution Equations
| Data(s) |
08/12/2013
08/12/2013
2012
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| Resumo |
2010 Mathematics Subject Classification: 35Q55. In this article we obtain closed form solutions of integrable nonlinear evolution equations associated with the nonsymmetricmatrix Zakharov- Shabat system by means of the inverse scattering transform. These solutions are parametrized by triplets of matrices. Alternatively, the time evolution of the Marchenko integral kernels and direct substitution are employed in deriving these solutions. Research supported by INdAM, MIUR under PRIN grant No. 2008KLJEZ-003, and the Autonomous Region of Sardinia (RAS) under grant CRP3-138, L.R. 7/2007. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 127p-146p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #integrable nonlinear evolution equations #closed form solutions |
| Tipo |
Article |
