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On the Euler-Poisson-Darboux equation and the Toda equation, II
1984
L'equation de Toda a 2 variables de temps peut se resoudre en utilisant les solutions des equations d'Euler-Poisson-Darboux. On obtient des solutions rationnelles, des solutions fonction hypergeometriques de Gauss et des solutions qui peuvent s'exprimer par des fonctions hypergeometriques a 2 variables
Keywords:
- Elliptic partial differential equation
- Laplace's equation
- Calculus
- Korteweg–de Vries equation
- Green's function for the three-variable Laplace equation
- Euler–Poisson–Darboux equation
- Frobenius solution to the hypergeometric equation
- Summation equation
- Partial differential equation
- Mathematical analysis
- Mathematics
- Differential equation
- Mathematical physics
- First-order partial differential equation
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