On factorization and solution of multidimensional linear partial differential equations
classification
💻 cs.SC
nlin.SI
keywords
equationsmethoddifferentiallinearpartialsecond-ordercertainclassical
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We describe a method of obtaining closed-form complete solutions of certain second-order linear partial differential equations with more than two independent variables. This method generalizes the classical method of Laplace transformations of second-order hyperbolic equations in the plane and is based on an idea given by Ulisse Dini in 1902.
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