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Seminario del 2016
Luglio
27
2016
pagina stampabile
Petr Grinevich
Scattering transform for multidimensional dispersionless systems. Exact results for the Pavlov equation.
nel ciclo di seminari:
NONLOCALITY AND SCATTERING TRANSFORM FOR FOR MULTIDIMENSIONAL DISPERSIONLESS SYSTEMS
SEMINARIO INTERDISCIPLINARE
Multidimensional integrable systems are usually non-local, therefore the solutions of the Cauchy problem depend on a proper choice of intergration constants. The inverse scattering transform usually prescribe a special choice of these constants. We calculate this choice for the model example of the Pavlov equation. The final answer can be explained using a lemma form integral geometry.
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