On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
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DOI：
10.1002/sapm1980623189
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发表时间：
1980-06
影响因子：
2.7
通讯作者：
D. Kaup
中科院分区：
文献类型：
--
作者：
D. Kaup
给出了形式为ψxxx+6qψx+6Rψ=λψ的三次本征值方程的反散射问题，并进行了形式上的求解。得到了散射数据的许多性质，简要讨论了连续谱，得到了特殊的孤子解，并根据散射数据确定了守恒量的无穷大。
The inverse scattering problem for cubic eigenvalue equations of the form ψxxx + 6Qψx + 6Rψ = λψ is outlined and formally solved. Many properties of the scattering data are obtained, the continuous spectrum is briefly discussed, special one soliton solutions are obtained, and the infinity of conserved quantities are determined in terms of the scattering data.