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Representation of solutions of linear partial differential equations in the form of finite sums

  • S. S. Titov
Article
  • 27 Downloads

Abstract

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.

Keywords

Differential Equation Exact Solution Partial Differential Equation Minimal Surface Surface Equation 
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Literature cited

  1. 1.
    E. Kamke, Handbook of Ordinary Differential Equations [Russian translation], Nauka, Moscow (1971).Google Scholar
  2. 2.
    F. Tricomi, Linear Equations of Mixed Type [Russian translation], Gostekhizdat, Moscow (1947).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • S. S. Titov
    • 1
  1. 1.Institute of Mathematics and MechanicsUNTs, Academy of Sciences of the USSRUSSR

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