19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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Non-linear waves

Place

Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date: 21 Jun 09:15 - 10:45

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Displaying 3 contributions out of 3
Session: Non-linear waves
We report that a class of integrable discrete holomorphic functions can generate planar truss structures with a certain mechanical optimality called the Michell structure, well-known in the area of architecture. Further, the discrete planar curves formed by the edges are nothing but the discrete analogue of the logarithmic spiral which is a special case of the discrete log-aesthetic curves. Discr ... More
Presented by Prof. Kenji KAJIWARA on 21/06/2023 at 08:15
Session: Non-linear waves
2D-Toda lattices corresponding to the Cartan matrices of simple Lie algebras are known to be Darboux integrable, i.e. they admit complete families of essentially independent characteristic integrals. During the last three decades various discrete analogs of these systems were obtained. In 2011 Habibullin proposed a systematic way to discretize 2D-Toda lattices. His approach was based on the idea ... More
Presented by Dr. Sergey SMIRNOV on 21/06/2023 at 07:45
Session: Non-linear waves
Modulation instability and nonlinearity are the main causes of the appearance of anomalous (rogue) waves (AWs) in several physical contexts. The theory of periodic anomalous waves has been recently developed on the basic Nonlinear Schrödinger (NLS) model in 1+1 dimensions, adapting the finite gap method to the Cauchy problem for periodic initial perturbations of the homogeneous background solutio ... More
Presented by Prof. Paolo SANTINI on 21/06/2023 at 07:15
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