Papers › Metamorphism -- an Integral Transform Reducing the Order of a Differential Equation

Metamorphism -- an Integral Transform Reducing the Order of a Differential Equation

25 May 2021arXiv:2105.12079links table onlyarchive 2025-07-28

Vladimir V. Kisil

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We propose an integral transform, called metamorphism, which allow us to reduce the order of a differential equation. For example, the second order Helmholtz equation is transformed into a first order equation, which can be solved by the method of characteristics.

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