Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2145

 Title: Closed Form Solutions of Integrable Nonlinear Evolution Equations Authors: van der Mee, Cornelis Keywords: integrable nonlinear evolution equationsclosed 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. URI: http://hdl.handle.net/10525/2145 ISSN: 0204-9805 Appears in Collections: 2012 Volume 21

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