Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations |
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| Authors: | Enrique G. Reyes |
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| Affiliation: | (1) Department of Mathematics, University of Oklahoma, Norman, OK, 73019, U.S.A;(2) Present address: Departamento de Matemáticas y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307 Correo 2, Santiago, Chile |
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| Abstract: | Zero curvature formulations, pseudo-potentials, modified versions, “Miura transformations”, conservation laws, and nonlocal symmetries of the Korteweg–de Vries, Camassa–Holm and Hunter–Saxton equations are investigated from a unified point of view: these three equations belong to a two-parameter family of equations describing pseudo-spherical surfaces, and therefore their basic integrability properties can be studied by geometrical means.  |
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| Keywords: | Primary 35Q53 Secondary 37K05, 37K25, 37K35 |
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