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On the conservation laws of the BBM equation - MaRDI portal

On the conservation laws of the BBM equation (Q1109988)

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scientific article; zbMATH DE number 4071537
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English
On the conservation laws of the BBM equation
scientific article; zbMATH DE number 4071537

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    On the conservation laws of the BBM equation (English)
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    1987
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    The method of \textit{H. D. Wahlquist} and \textit{F. N. Estabrook} [J. Math. Phys. 16, 1-7 (1975; Zbl 0298.35012)] is applied to construct the three independent conservation laws of the BBM equation [\textit{T. B. Benjamin}, \textit{J. L. Bona} and \textit{J. J. Mahony}, Philos. Trans. R. Soc. Lond., A 272, 47-78 (1972; Zbl 0229.35013)] which are expressed as exact forms in a closed ideal of ring of exterior differential forms on a six- dimensional differentiable manifold.
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    conservation laws
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    BBM equation
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    closed ideal of ring of exterior differential forms
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    six-dimensional differentiable manifold
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