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我们用Zakharov方程描述等离子体中Langmuir波、横波和离子声波的非线性相互作用,通过研究系统稳态的Sagdeev势的性质,讨论了该系统中孤立子可能存在的条件;同时和体系的极小能量状态相联系,构造了体系的Liapunov泛函,研究了孤立子的Liapunov稳定性。我们所采用的方法是完全非线性的,得到的稳定性判据在横波和Langmuir波解耦情况下退化为文献8的结果。The condition for the existence and the stability of solitons in the coupled system of Lang-muir waves and transverse waves are investigated. The method is completely nonlinear and makes use of Liapunov theory. The condition for the existence of the solitons and the criterion for the stability are found. The results we obtained recover the previous ones in the uncoupled case.
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中国物理学会期刊
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