The Cauchy Problem for the KdV Equation With Non-Decreasing Initial Data
The Cauchy Problem for the KdV Equation With Non-Decreasing Initial Data
复制标题
初始数据不减的KdV方程的柯西问题
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
V. Marchenko
中科院分区：
文献类型：
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作者：
V. Marchenko
目前对反问题方法进行了大量的改进，可用于求解各种非线性方程的解。然而，除了速降周期初始数据外，这些方法在求解柯西问题中的适用性实际上尚未得到研究。
At the present time there exist numerous modifications of the inverse problem method which can be used to obtain wide classes of solutions of nonlinear equations. However, with the exception of rapidly decreasing and periodic initial data, the applicability of these methods for the solution of the Cauchy problem has not, in fact, been studied.