Properties of compacton-anticompacton collisions

被引：9
作者：
Cardenas, Andres [1 ,2 ]
Mihaila, Bogdan [1 ]
Cooper, Fred [3 ,4 ,5 ]
Saxena, Avadh [4 ,5 ]
机构：
[1] Los Alamos Natl Lab, Div Mat Sci & Technol, Los Alamos, NM 87545 USA
[2] NYU, Dept Phys, New York, NY 10003 USA
[3] Santa Fe Inst, Santa Fe, NM 87501 USA
[4] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[5] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
来源：
PHYSICAL REVIEW E | 2011年 / 83卷 / 06期
关键词：
SOLITON-SOLUTIONS; WAVES; EQUATIONS; LINES; KINKS;
D O I：
10.1103/PhysRevE.83.066705
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We study the properties of compacton-anticompacton collision processes. We compare and contrast results for the case of compacton-anticompacton solutions of the K(l, p) Rosenau-Hyman (RH) equation for l = p = 2, with compacton-anticompacton solutions of the L(l, p) Cooper-Shepard-Sodano (CSS) equation for p = 1 and l = 3. This study is performed using a Pade discretization of the RH and CSS equations. We find a significant difference in the behavior of compacton-anticompacton scattering. For the CSS equation, the scattering can be interpreted as "annihilation" as the wake left behind dissolves over time. In the RH equation, the numerical evidence is that multiple shocks form after the collision, which eventually lead to "blowup" of the resulting wave form.
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页数：8
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