Peakon-Antipeakon Interaction
نویسنده
چکیده
Explicit formulas are given for the multi-peakon-antipeakon solutions of the Camassa– Holm equation, and a detailed analysis is made of both short-term and long-term aspects of the interaction between a single peakon and single anti-peakon. The strongly nonlinear equation ( 1 − 1 4 D ) ut = 3 2 ( u ) x − 1 8 ( u2x ) x − 1 4 (uuxx)x, (1) introduced by Camassa and Holm [5] as a possible model for dispersive waves in shallow water, admits solutions that are nonlinear superpositions of travelling waves (peakons) and troughs (antipeakons), having the form
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تاریخ انتشار 2001