Waltzing peakons and compacton pairs in a cross-coupled Camassa–Holm equation
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولStability of peakons for the Degasperis-Procesi equation
The Degasperis-Procesi equation can be derived as a member of a oneparameter family of asymptotic shallow water approximations to the Euler equations with the same asymptotic accuracy as that of the CamassaHolm equation. It is noted that the Degasperis-Procesi equation, unlike the Camassa-Holm equation, has not only peakon solitons but also shock peakons. In this paper, we study the orbital sta...
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By using the bifurcation theory of planar dynamical systems to a generalized Camassa–Holm equation 0960-0 doi:10 * Co E-m mt þ c0ux þ umx þ 2mux 1⁄4 cuxxx with m = u auxx, a 5 0, c0, c are constant, which is called CH-r equation, the existence of peakons and periodic cusp wave solutions is obtained. The analytic expressions of the peakons and periodic cusp wave solutions are given and numerical...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2011
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/44/26/265205