The non-linear Schrödinger equation and the non-stationary evolution of the intense localized wave field
✍ Scribed by A. B. Shvartsburg; M. A. Zuev
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 502 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0306-8919
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📜 SIMILAR VOLUMES
## Abstract In this paper we prove a __L__~__p__~‐decomposition where one of the components is the kernel of a first‐order differential operator that factorizes the non‐stationary Schrödinger operator −Δ−__i__∂~__t__~. Copyright © 2008 John Wiley & Sons, Ltd.
## Abstract In this paper we consider the inverse scattering problem for the non‐linear Schrödinger equation on the line \def\dr{{\rm d}}$$i{\partial\over\partial t}u(t,x)=‐{\dr^2\over\dr x^2}u(t,x)+V\_0(x)u(t,x)+\sum\_{j=1}^{\infty}V\_j(x)|u|^{2(j\_0+j)}u(t,x)$$\nopagenumbers\end We prove, unde