Solutions of the Boussinesq equation (Q1819296)
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scientific article; zbMATH DE number 3992052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions of the Boussinesq equation |
scientific article; zbMATH DE number 3992052 |
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Solutions of the Boussinesq equation (English)
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1986
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The rational solutions of the Boussinesq equation (mainly those which decay to zero when x goes to infinity) are studied. The solution is written in terms of a function which is assumed to have a polynomial form, and the coefficients are computed. It is interesting to emphasize that rational solutions exist only for some value of maximal degree of the polynomials. Finally, the solutions are computed using the Bäcklund transformations.
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rational solutions
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Boussinesq equation
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Bäcklund transformations
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0.9457523
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0.94026124
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0.9365175
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0.9362461
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