Representation of solutions of linear partial differential equations in the form of finite sums
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In this note we consider the problem of representing solutions of linear partial differential equations with two independent variables in the form of finite sums. We obtain one sufficient representability criterion and indicate several classes of equations to which it is applicable. As examples we obtain new exact solutions of the transformed minimal surface equation and the Tricomi equation.
KeywordsDifferential Equation Exact Solution Partial Differential Equation Minimal Surface Surface Equation
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