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孤子运动的Miles方程是一个具特征的非线性Schrdinger型方程.借求孤子解的微扰法,导出所遵循的矩阵方程,和孤子解的修正量δu(x,λ).并据双孤子解,计算了它的周期互作用状态
关键词:
Miles方程 微扰双孤子解 相似文献
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在不相容、不等密度的双层液体的参数激励下的Faraday实验中,观察到了非传播界面波孤立子和扭结以及稳定的双孤立子等现象.总体上看,界面波现象和已有的表面波现象基本上一致,只是由于上层液体的存在,使得界面波的模式振动频率明显红移、波形变矮变宽、其稳定性也不如表面波.在理论上,对流体力学方程组及其相应的边界和界面条件进行了约化,得到了一个有阻尼、带驱动的非线性Schr(?)dinger方程.从而,令人满意地同时解释了界面孤立子波和扭结波.无论从实验现象上,还是从理论上看,自由表面波只是界面波的一个特例. 相似文献
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By using the reductive perturbation method, the carrier wave modulation propagating in a weakly viscous fluid-filled elastic tube is investigated. It is shown that such a process can be described by equation Aτ+iBAξξ+iC|A|2A+DA=0 and the amplitude of envelope soliton will decrease as it propagates away. 相似文献
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A non-adiabatic model of single bubble sonoluminescence has been advanced through considering the energy dissipation caused by light emission. The bubble dynamical equations with a black-body radiation have been solved numerically. The results show that without introduciag any model parameter, this model not only can well reproduce the experimental phenomena in the time scale of microsecond of the adiabatic model can do, but also can obtain a 40-100 ps of flash duration and a 104 K effective temperature of the black-body radiation. These agree with the experiment quite well. 相似文献
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