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Title: Closed Form Solutions of Integrable Nonlinear Evolution Equations
Authors: van der Mee, Cornelis
Keywords: integrable nonlinear evolution equations
closed form solutions
Issue Date: 2012
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 21, No 1, (2012), 127p-146p
Abstract: 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.
Description: 2010 Mathematics Subject Classification: 35Q55.
ISSN: 0204-9805
Appears in Collections:2012 Volume 21

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