Solutions to Non-linear Euler-Poisson-Darboux Equations by Means of Generalized Separation of Variables

Аннотация

This paper examines solutions to some non-linear equations which generalize well-known equations such as the Euler-Poisson-Darboux equation, the Kolmogorov-Petrovsky-Piskunov equation and telegraph-type equations. The method of generalized separation of variables is here used to derive new exact solutions to these equations.