这种孤子波的形成及其演化与离子运动有极大关系。用相对论强激光脉冲可以产生达到相对论振幅的电磁场孤子波，后者可以把离子加速到非常高的能量。
The formed solitons are usually found to move with small velocity, which results in the formation of plasma cavities and the acceleration of ions to high energy.
利用孤子波的数学理论到圆截面直筒油管的应力波传播的研究，得出了这类应力波具有孤子波的性质，并导出了它的解的表示式。这对研究弹性圆管应力传输问题是有帮助的。
Using the mathematical theory of soliton wave to study the stress wave of an oil pipe, we show that it has the property of soliton wave and obtain an expression of its solution.
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