Integration of the Korteweg-de Vries equation with a source
Integration of the Korteweg-de Vries equation with a source
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DOI：
10.1088/0266-5611/6/2/007
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发表时间：
1990-04
期刊：
影响因子：
2.1
通讯作者：
V. K. Mel’nikov
中科院分区：
文献类型：
--
作者：
V. K. Mel’nikov
结果表明，对于直线上的一维薛定谔算子，通过逆散射方法可以得到当\(x\)趋于正负无穷时迅速衰减的含源的科特韦格 - 德弗里斯方程的解。找到了含源的科特韦格 - 德弗里斯方程具有纯孤子解的条件。所得到的结果与流体动力学、等离子体物理学、固体物理学等中的一些问题相关。
It is shown that solutions of the Korteweg-de Vries equation with a source which are rapidly decreasing as x to +or- infinity can be obtained by the inverse scattering method for the one-dimensional Schrodinger operator on a straight line. The conditions are found under which the Korteweg-de Vries equation with a source has a pure soliton solution. The results obtained are relevant to some problems in hydrodynamics, plasma physics, solid state physics, etc.