The nonlinear wave and diffusion processes in media with a jump change in characteristics depending on the amplitude of the field distribution (Q2025518)
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scientific article; zbMATH DE number 7348060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonlinear wave and diffusion processes in media with a jump change in characteristics depending on the amplitude of the field distribution |
scientific article; zbMATH DE number 7348060 |
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The nonlinear wave and diffusion processes in media with a jump change in characteristics depending on the amplitude of the field distribution (English)
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14 May 2021
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The paper addresses one-dimensional Klein-Gordon and diffusion equations in which, respectively, the mass parameter and diffusion coefficient are defined as stepwise functions which jumps between different constant values at a critical value of the wave field governed by the equations. Various exact stationary solutions of the equations are constructed, with jumps of the first derivative at the critical value.
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Klein-Gordon equation
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nonlinear diffusion
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stepwise nonlinearity
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