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| Rational Solutions to the KdV Equation in Terms of Particular Polynomials |
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| KeyWord:Polynomial Bilinear differential operator Rational solution |
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| Abstract: |
| Here, we construct rational solutions to the KdV equation by particular polynomials. We get the solutions in terms of determinants of the order $n$ for any positive integer $n$, and we call these solutions, solutions of the order $n$. Therefore, we obtain a very efficient method to get rational solutions to the KdV equation, and we can construct explicit solutions very easily. In the following, we present some solutions until order $10$. |
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