A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals (Q1324912)
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scientific article; zbMATH DE number 578697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals |
scientific article; zbMATH DE number 578697 |
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A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals (English)
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21 July 1994
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The paper is devoted to special solutions of nonlinear differential equations which are integrable with the help of the ``inverse scattering problem'' method. The solutions are characterized by their linear limit turning into special functions of wave catastrophes. For any sector of angle \(\pi/3\) of a plane, the existence of a consistent solution to the system of inverse scattering problem equations with an asymptotic decomposition, is stated in the main result.
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inverse scattering problem
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special functions of wave catastrophes
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asymptotic decomposition
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