Numerical modelling of the nonlinear evolutionary equations on the basis of an inverse scattering method

Igor V. Grigorov

doi:10.1117/12.854713

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21 January 2010 Numerical modelling of the nonlinear evolutionary equations on the basis of an inverse scattering method

Igor V. Grigorov

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Proceedings Volume 7523, Optical Technologies for Telecommunications 2009; 75230F (2010) https://doi.org/10.1117/12.854713
Event: Optical Technologies for Telecommunications 2009, 2009, Samara, Russian Federation

Abstract

In article the algorithm of numerical modelling of the nonlinear equation of Korteweg-de Vrieze which generates nonlinear algorithm of digital processing of signals is considered. For realisation of the specified algorithm it is offered to use a inverse scattering method (ISM). Algorithms of direct and return spectral problems, and also problems of evolution of the spectral data are in detail considered. Results of modelling are resulted.

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Igor V. Grigorov "Numerical modelling of the nonlinear evolutionary equations on the basis of an inverse scattering method", Proc. SPIE 7523, Optical Technologies for Telecommunications 2009, 75230F (21 January 2010); https://doi.org/10.1117/12.854713

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