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Solitons in the Camassa-Holm Shallow Water Equation

Fred Cooper·Harvey Shepard
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Abstract

We study the class of shallow water equations of Camassa and Holm derived from the Lagrangian: $ L= \int \left( \frac{1}{2} (φ_{xxx}-φ_{x} )φ_{t} - {1 \over 2} {(φ_{x})^{3}} - {1 \over 2}φ_{x}(φ_{xx})^{2} - {1 \over 2} κφ_{x}^{2} \right) dx, $

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Fred Cooper, Harvey Shepard. 1993-11-22. Solitons in the Camassa-Holm Shallow Water Equation. https://doi.org/10.1016/0375-9601(94)91246-7

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