Continously Perturbed Equivalent Classes of Asymptotically Stable Kinetic Equations
نویسندگان
چکیده
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The integrable 3rd-order Korteweg-de Vries (KdV) equation emerges uniquely at linear order in the asymptotic expansion for unidirectional shallow water waves. However, at quadratic order, this asymptotic expansion produces an entire family of shallow water wave equations that are asymptotically equivalent to each other, under a group of nonlinear, nonlocal, normal-form transformations introduce...
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ژورنال
عنوان ژورنال: Zeitschrift für Naturforschung A
سال: 1973
ISSN: 1865-7109,0932-0784
DOI: 10.1515/zna-1973-0226