In this letter we consider asymptotic symmetries of the Korteweg de Vries equation, the prototype of the integrable equations. While the reduction of the KdV with respect to point and generalized symmetries gives equations of the Painleve classification, we show here that the reduction with respect to some asymptotic symmetries violates the Ablowitz-Ramani-Segur conjecture and gives an ordinary differential equation which does not possess the Painleve property. Copyright (c) EPLA, 2007.
Levi, D., Rodriguez, M.a. (2007). Asymptotic symmetries and integrability: The KdV case. EUROPHYSICS LETTERS, 80(6) [10.1209/0295-5075/80/60005].
Asymptotic symmetries and integrability: The KdV case
LEVI, Decio;
2007-01-01
Abstract
In this letter we consider asymptotic symmetries of the Korteweg de Vries equation, the prototype of the integrable equations. While the reduction of the KdV with respect to point and generalized symmetries gives equations of the Painleve classification, we show here that the reduction with respect to some asymptotic symmetries violates the Ablowitz-Ramani-Segur conjecture and gives an ordinary differential equation which does not possess the Painleve property. Copyright (c) EPLA, 2007.File in questo prodotto:
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