共查询到20条相似文献,搜索用时 109 毫秒
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《物理学报》2016,(16)
分别基于线性和非线性稳定性理论,建立了描述同轴旋转可压缩气体中含空泡液体射流稳定性的一阶与二阶色散方程,并对色散方程进行验证分析;在此基础上,进行了射流表面一阶与二阶扰动及其发展的分析,线性与非线性稳定性理论下射流空间发展的对比研究.研究结果表明,二阶扰动波的波长和振幅明显小于一阶扰动波;沿射流方向,射流表面的扰动发展主要由一阶扰动波的发展所主导;随着轴向距离的增大,二阶扰动波才开始逐渐对扰动的发展起一定的作用.两种稳定性理论下射流表面的占优扰动模式不会发生改变;采用非线性稳定性理论时,可以反映一些实验中发现的射流表面出现"卫星液滴"的现象,由于考虑了射流表面的二阶扰动,射流界面振荡程度加剧. 相似文献
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An extended Boussinesq equation that models weakly nonlinear and
weakly dispersive waves on a uniform layer of water is studied in
this paper. The results show that the equation is not
Painlev\'e-integrable in general. Some particular exact travelling
wave solutions are obtained by using a function expansion method. An
approximate solitary wave solution with physical significance is
obtained by using a perturbation method. We find that the extended
Boussinesq equation with a depth parameter of $1/\sqrt 2$ is able to
match the Laitone's (1960) second order solitary wave solution of
the Euler equations. 相似文献
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高阶非线性薛定谔方程的精确周期解和孤波解 总被引:1,自引:1,他引:0
本文利用行波约化方法,研究了用于描述飞秒光脉冲传输的高阶非线性薛定谔方程,得到了它的包络型Jacobian椭圆函数双周期解和孤波解.分析结果表明亮孤子的存在依赖于负三阶色散效应,暗孤子的存在依赖于正三阶色散效应. 相似文献
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MA Hong-Cai YU Yao-Dong GE Dong-Jie 《理论物理通讯》2009,51(4):609-612
In this paper, the nonlinear dispersive Zakharov- Kuznetsov equation is solved by using the generalized auxiliary equation method. As a result, new solitary pattern, solitary wave and singular solitary wave solutions are found. 相似文献
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New explicit exact solutions to a nonlinear dispersive-dissipative equation 总被引:1,自引:0,他引:1 下载免费PDF全文
Using the first-integral method, we obtain a series of new explicit exact solutions such as exponential function solutions, triangular function solutions, singular solitary wave solution and kink solitary wave solution of a nonlinear dispersive-dissipative equation, which describes weak nonlinear ion-acoustic waves in plasma consisting of cold ions and warm electrons. 相似文献