A novel nonlinear evolution equation integrable by the inverse scattering method (Q2754767)
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scientific article; zbMATH DE number 1668402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A novel nonlinear evolution equation integrable by the inverse scattering method |
scientific article; zbMATH DE number 1668402 |
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4 November 2001
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evolution equation
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inverse scattering method
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spectral equation
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soliton solution
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A novel nonlinear evolution equation integrable by the inverse scattering method (English)
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For the evolution equation \((u_t+uu_x)_x+u=0\), the inverse scattering problem is formulated. The associated system of equations retains a third-order spectral equation. By the method of inverse scattering, an exact \(N\)-soliton solution of the Vakhnenko equation is found.
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