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Showing 1 to 3 of 3 for “"Inverse Scattering Transform Method"”.
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Mathematical and numerical modelling of dispersion-managed solitons, autosolitons and self-similar optical pulses
… Applying a perturbation theory, based on the Inverse Scattering Transform method, an analytic expression for the envelope of the DM soliton is derived. This expression correctly predicts the power enhancement arising from the dispersion management.Secondly, autosoliton transmission in DM fibre …
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Initial and boundary value problems in two and three dimensions
… equation on the half line. In 1967 the Inverse Scattering Transform method was introduced; this method can be used for the solution of the initial value problem of certain integrable equations including the celebrated Korteweg-de Vries and nonlinear Schrödinger equations. The extension …
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Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps
… the so-called Lax pair, and can be solved via a method related to the Inverse Scattering Transform. Although integrable systems are quite rare, they play an extremely important role in physical applications, including the theory of water waves and optics. The thesis focuses on two main topics: A. …