Applications of numerical inverse and direct scattering transform in integrable turbulence studies

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• Andrey Gelash (Université de Bourgogne)
• Friday 21 October 2022, 14:30-15:00
• Seminar Room 1, Newton Institute.

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

The numerical direct and inverse scattering transform applications represent a broad topic of nonlinear wave field studies. Here we investigate various stochastic nonlinear wavefields with the dominant role of a large number of solitons within the one-dimensional nonlinear Schrodinger equation model. First we apply our recently developed direct scattering transform numerical scheme allowing accurate identification of the complete wavefield scattering data, we find distributions of all soliton parameters – amplitudes, velocities, positions, and phases. Then, using the previously developed numerical tools of solving the inverse scattering problem for a large number of solitons, we reconstruct the solitonic content of the initial wave field, which allows us to estimate the role of solitons in the initial wave field composition.

This talk is part of the Isaac Newton Institute Seminar Series series.

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