Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy (Q1821968)
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scientific article; zbMATH DE number 4000589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy |
scientific article; zbMATH DE number 4000589 |
Statements
Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy (English)
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1986
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Explicit examples are presented of two-dimensional rational potentials going to zero at infinity and reflectionless at a given energy. We show that these potentials are connected with the soliton solutions of the \((2+1)\)-dimensional nonlinear equations constructed by A. P. Veselov and S. P. Novikov.
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Veselov-Novikov equations
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two-dimensional rational potentials
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reflectionless at a given energy
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soliton solutions
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nonlinear equations
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