𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Canonical formalism for the (2+1)-D nonlinear Schrödinger equation

✍ Scribed by S. De Nicola

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
182 KB
Volume
88
Category
Article
ISSN
0030-4018

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Geometric Integrators for the Nonlinear
Geometric Integrators for the Nonlinear Schrödinger Equation
✍ A.L. Islas; D.A. Karpeev; C.M. Schober 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 270 KB

Recently an interesting new class of PDE integrators, multisymplectic schemes, has been introduced for solving systems possessing a certain multisymplectic structure. Some of the characteristic features of the method are its local nature (independent of boundary conditions) and an equal treatment of

Symplectic methods for the nonlinear Sch
Symplectic methods for the nonlinear Schrödinger equation
✍ Y.-F. Tang; L. Vázquez; F. Zhang; V.M. Pérez-García 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 528 KB

In this paper, we show that the spatial discretization of the nonlinear SchrSdinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear SchrSdinger equation, and we demonstrate that the

Open boundaries for the nonlinear Schröd
Open boundaries for the nonlinear Schrödinger equation
✍ A. Soffer; C. Stucchio 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 292 KB

We present a new algorithm, the time dependent phase space filter (TDPSF) which is used to solve time dependent nonlinear Schro ¨dinger equations (NLS). The algorithm consists of solving the NLS on a box with periodic boundary conditions (by any algorithm). Periodically in time we decompose the solu

The Matrix Nonlinear Schrödinger Equatio
The Matrix Nonlinear Schrödinger Equation in Dimension 2
✍ Liu Zuhan; Michael Pedersen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil