Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE

被引：140
作者：
Holm, DD
Staley, MF
机构：
[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[2] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[3] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
来源：
PHYSICS LETTERS A | 2003年 / 308卷 / 5-6期
关键词：
solitary waves; solitons; peakons; nonlinear evolution; turbulence modeling;
D O I：
10.1016/S0375-9601(03)00114-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study exchange of stability in the dynamics of solitary wave solutions under changes in the nonlinear balance in a 1 + 1 evolutionary partial differential equation related both to shallow water waves and to turbulence. We find that solutions of the equation m(t) + um(x) + bu(x)m = vm(xx) with m = u - alpha(2)u(xx) for fluid velocity u(x, t) change their behavior at the special values b = 0,+/-1, +/-2, +/-3. (C) 2003 Published by Elsevier Science B.V.
引用
收藏
页码：437 / 444
页数：8
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