On compactons induced by a non-convex convection

被引：15

作者：

Rosenau, Philip ^{[1
]}

Oron, Alexander ^{[2
]}

机构：

[1] Tel Aviv Univ, Sch Math, IL-69978 Tel Aviv, Israel

[2] Technion Israel Inst Technol, Dept Mech Engn, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 05期

关键词：

Compacton; Convection; Nonlinear dispersion; UNDERCOMPRESSIVE SHOCKS; SOLITARY WAVES; EQUATIONS; STABILITY; SOLITONS;

D O I：

10.1016/j.cnsns.2013.09.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the model equation: u(t) +/- (u(3) - u(2))(x) + (u(3))(xxx) = 0 we study the impact of a non-convex convection on formation of compactons. In the (+) version, both traveling and stationary compactons are observed, whereas in the (-) branch, compactons may form only for a bounded range of velocities. Depending on their relative speed, interaction of compactons may be close to being elastic or a fission process wherein the collision begets additional compactons. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1329 / 1337

页数：9

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