On the Euler-Poisson-Darboux equation and the Toda equation, I
نویسندگان
چکیده
منابع مشابه
The Euler-poisson-darboux Equation in the Exceptional Cases1
where in the EPD equation (1.1) it is understood that Aw = 2Zf=i «*,•*< and k is a parameter, — °° < k < °°. We designate a solution of Li[w]=0 by um(x, t), writing x in place of *i, ■ • • , xm. While particular results for this famous equation go back to Poisson and even to Euler, a systematic investigation of the Cauchy problem covering all values of k and m is of recent date. The results may...
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We find a remarkable subalgebra of higher symmetries of the elliptic Euler-Darboux equation. To this aim we map such equation into its hyperbolic analogue already studied by Shemarulin. Taking into consideration how symmetries and recursion operators transform by this complex contact transformation, we explicitly give the structure of this Lie algebra and prove that it is finitely generated. Fu...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1984
ISSN: 0386-2194
DOI: 10.3792/pjaa.60.145