An N-soliton solution to the DNLS equation based on revised inverse scattering transform
An N-soliton solution to the DNLS equation based on revised inverse scattering transform
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基于修正散射逆变换的 DNLS 方程的 N 孤子解
DOI：
10.1088/1751-8113/40/45/008
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发表时间：
2007-11-09
影响因子：
2.1
通讯作者：
Huang, Nian-Ning
中科院分区：
文献类型：
--
作者：
Zhou, Guo-Quan;Huang, Nian-Ning
基于修正的具有消失边界条件的非线性薛定谔(DNLS)导数方程的逆散射变换，利用一些特殊矩阵和行列式的代数技巧，特别是比内柯西公式，得到了显式的N-孤子解。作为N孤子解的一般公式的说明，给出了单孤子解和双孤子解。此外，还讨论了N-孤子解的渐近行为。
Based on a revised version of inverse scattering transform for the derivative nonlinear Schrodinger (DNLS) equation with vanishing boundary condition (VBC), the explicit N-soliton solution has been derived by some algebra techniques of some special matrices and determinants, especially the Binet Cauchy formula. The one- and two-soliton solutions have been given as the illustration of the general formula of the N-soliton solution. Moreover, the asymptotic behaviors of the N-soliton solution have been discussed.