Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation

被引：0
|
作者：
Sevdzhan Hakkaev
机构：
[1] Istanbul Aydin University,Department of Mathematics and Computer Science
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Solitary waves; regularized long-wave equation; orbital stability; 35B35; 35B40; 35G30;
D O I：
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摘要：
This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range of the waves speed of propagation and the relation between the dispersion (i.e., the order of the pseudodifferential operator) and the nonlinearity.
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