Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra |
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| Authors: | F Güngör P Winternitz |
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| Institution: | a Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, Maslak, Istanbul, Turkey
b Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succ. Centre-ville, Montréal, QC H3C 3J7, Canada |
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| Abstract: | A generalized Kadomtsev-Petviashvili equation, describing water waves in oceans of varying depth, density and vorticity is discussed. A priori, it involves 9 arbitrary functions of one, or two variables. The conditions are determined under which the equation allows an infinite-dimensional symmetry algebra. This algebra can involve up to three arbitrary functions of time. It depends on precisely three such functions if and only if it is completely integrable. |
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