Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations
نویسنده
چکیده
Zero curvature formulations, pseudo-potentials, modified versions, “Miura transformations”, and nonlocal symmetries of the Korteweg–de Vries, Camassa–Holm and Hunter–Saxton equations are investigated from an unified point of view: these three equations belong to a two–parameters family of equations “describing pseudo-spherical surfaces”, and therefore their basic integrability properties can be studied by geometrical means.
منابع مشابه
The Soliton Content of the Camassa–Holm and Hunter–Saxton Equations
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