Integrable ponderomotive system: Cavitons are solitons.
Integrable ponderomotive system: Cavitons are solitons.
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DOI：
10.1103/physrevlett.59.2063
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发表时间：
1987-11
影响因子：
8.6
通讯作者：
Kaup
中科院分区：
文献类型：
--
作者：
Kaup
一组新的描述等离子体中空穴形成的可积孤子方程。该方程可通过逆散射变换求解。的散射数据的时间演化，它被发现，与其他可积方程的反射系数的大小总是一个常数的运动，在这里它可能会增长和/或衰减的时间。反射系数增长的一个物理表现是微波源前密度波纹的增长。另一方面，当衰变条件占主导地位时，只剩下空泡，即这些方程的孤立子。
A new set of integrable soliton equations describe caviton formation in a plasma. The equations are solvable by the inverse scattering transform. The time evolution of the scattering data is obtained and it is found that, unlike other integrable equations where the magnitude of the reflection coefficient was always a constant of the motion, here it may grow and/or decay in time. One physical manifestation of the growth of the reflection coefficient is the growth of density ripples in front of a microwave source. On the other hand, when the decay conditions dominate, one is left with only cavitons, which are the solitons for these equations.