Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities
Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities
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DOI：
10.1063/1.862236
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发表时间：
1978-03
影响因子：
4.6
通讯作者：
H. H. Chen-H.;C. Liu
中科院分区：
文献类型：
--
作者：
H. H. Chen-H.;C. Liu
讨论了非线性波在密度不均匀介质中传播的渐近解。在绝热近似下，对于具有线性但随时间变化的密度梯度的介质，导出了非线性薛定谔方程。由此产生的额外项可以通过加速参考系来消除，这使得这个修改的非线性薛定谔方程完全可由逆散射方法积分。因此，多孤子仍然是波在具有任意不均匀性的介质中传播的渐近状态。
Asymptotic solutions of nonlinear wave propagation in media with gentle, but otherwise arbitrary density inhomogeneities, are discussed. In the adiabatic approximation, a nonlinear Schrodinger equation is derived for media with linear, but time‐dependent density gradients. The resulting extra term can be eliminated by going to an accelerated reference frame, which makes this modified nonlinear Schrodinger equation completely integrable by the inverse scattering method. Multi‐solitons are therefore still the asymptotic states of waves propagating in media with arbitrary inhomogeneities.