It is shown that the hodograph solutions of the dispersionless coupled KdV hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darboux equation.
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and Euler-Poisson-Darboux equation
KONOPELCHENKO, Boris;
2010-01-01
Abstract
It is shown that the hodograph solutions of the dispersionless coupled KdV hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darboux equation.File in questo prodotto:
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