The Miura transformations of Kaup's equation and of Mikhailov's equation |
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Authors: | Ryogo Hirota Alfred Ramani |
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Affiliation: | 1. Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Hiroshima, Japan;1. Laboratoire de Physique Théorique et des Hautes Energies, Université Paris-Sud, Orsay, France |
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Abstract: | Two types of Miura transformations have been found. One relates Kaup's equation to Sawada-Kotera's equation and another relates the generalized Mikhailov equation to a model equation for a shallow water wave. |
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