Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities
作者:
H. H. Chen,
C. S. Liu,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1978)
卷期:
Volume 21,
issue 3
页码: 377-380
ISSN:0031-9171
年代: 1978
DOI:10.1063/1.862236
出版商: AIP
数据来源: AIP
摘要:
Asymptotic solutions of nonlinear wave propagation in media with gentle, but otherwise arbitrary density inhomogeneities, are discussed. In the adiabatic approximation, a nonlinear Schro¨dinger 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 Schro¨dinger equation completely integrable by the inverse scattering method. Multi‐solitons are therefore still the asymptotic states of waves propagating in media with arbitrary inhomogeneities.
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