Interaction of solitary pulses in active dispersive-dissipative media

被引：14
|
作者：
Tseluiko, Dmitri [1 ]
Saprykin, Sergey [1 ]
Kalliadasis, Serafim [1 ]
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Dept Chem Engn, London SW7 2AZ, England
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2010年 / 59卷 / 02期
关键词：
dissipative solitons; solitary-pulse interaction; bound states; generalized Kuramoto-Sivashinsky equation; WAVES; INSTABILITY; STABILITY; SYSTEM; FILM;
D O I：
10.3176/proc.2010.2.12
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We examine weak interaction and formation of bound states of pulses for the generalized Kuramoto-Sivashinsky (gKS) equation, which is one of the simplest prototypes describing active media with energy supply, dissipation, dispersion, and nonlinearity. We derive a system of ordinary differential equations describing the leading-order dynamics of the pulses of the gKS equation and prove a criterion for the existence of a countable infinite or finite number of bound states. Our theory is corroborated by computations of the full equation.
引用
收藏
页码：139 / 144
页数：6
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