Exact solutions of the nonlinear Schrödinger equation in time-dependent parabolic density profiles
✍ Scribed by G. Burdet; M. Perrin
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 219 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0377-9017
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✦ Synopsis
By using covariance properties of an extended SchrOdinger formalism, exact soliton-like solutions of the nonlinear SchrSdinger equation in time-dependent inhomogeneous media (parabolic density profiles) are constructed.
📜 SIMILAR VOLUMES
## Abstract Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐eq
In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po