𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-similar solutions and collective coordinate methods for nonlinear Schrödinger equations

✍ Scribed by Vı́ctor M. Pérez-Garcı́a


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
100 KB
Volume
191
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


New Self-Similar Solutions of the Nonlin
✍ Chris J Budd; Shaohua Chen; Robert D Russell 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 303 KB

We study the blow-up self-similar solutions of the radially symmetric nonlinear Schrödinger equation (NLS) given by iu t + u rr + d -1 r u r + u|u| 2 , with dimension d > 2. These solutions become infinite in a finite time T . By a series of careful numerical computations, partly supported by analyt

Symplectic methods for the nonlinear Sch
✍ 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