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pro vyhledávání: '"Rasin, Alexander"'
Autor:
Rasin, Alexander G., Schiff, Jeremy
We explore the application of generating symmetries, i.e. symmetries that depend on a parameter, to integrable hyperbolic third order equations, and in particular to consistent pairs of such equations as introduced by Adler and Shabat (AS). Our main
Externí odkaz:
http://arxiv.org/abs/2306.06988
Autor:
Rasin, Alexander G.
In this article we continue to develop the theory of generating symmetries for integrable equations. A technique for computation of generating symmetries using Maple is presented. The technique is based on the standard symmetry method. By using it we
Externí odkaz:
http://arxiv.org/abs/2202.02642
Autor:
Rasin, Alexander G., Schiff, Jeremy
Publikováno v:
Four Symmetries of the KdV Equation. J Nonlinear Sci 32, 68 (2022)
We revisit the symmetry structure of integrable PDEs, looking at the specific example of the KdV equation. We identify 4 nonlocal symmetries of KdV depending on a parameter, which we call generating symmetries. We explain that since these are nonloca
Externí odkaz:
http://arxiv.org/abs/2108.01550
Publikováno v:
In Forensic Science International: Digital Investigation July 2023 45 Supplement
Autor:
Rasin, Alexander G., Schiff, Jeremy
We study the simple-looking scalar integrable equation $f_{xxt} - 3(f_x f_t - 1) = 0$, which is related (in different ways) to the Novikov, Hirota-Satsuma and Sawada-Kotera equations. For this equation we present a Lax pair, a B\"acklund transformati
Externí odkaz:
http://arxiv.org/abs/1905.02179
Autor:
Rasin, Alexander G.
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation April 2023 118
We explore several oversampling techniques for an imbalanced multi-label classification problem, a setting often encountered when developing models for Computer-Aided Diagnosis (CADx) systems. While most CADx systems aim to optimize classifiers for o
Externí odkaz:
http://arxiv.org/abs/1807.02608
Autor:
Rasin, Alexander, Schiff, Jeremy
We summarize the results of our recent work on B\"acklund transformations (BTs), particularly focusing on the relationship of BTs and infinitesimal symmetries. We present a BT for an associated Degasperis-Procesi (aDP) equation and its superposition
Externí odkaz:
http://arxiv.org/abs/1710.05539
Autor:
Rasin, Alexander, Schiff, Jeremy
The B\"acklund transformation (BT) for the "good" Boussinesq equation and its superposition principles are presented and applied. Unlike many other standard integrable equations, the Boussinesq equation does not have a strictly algebraic superpositio
Externí odkaz:
http://arxiv.org/abs/1701.00243
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