The Hamiltonian and the multi-symplectic formulations of the nonlinear SchrGdinger equation are considered. For the multi-symplectic formulation, a new six-point difference scheme which is equivalent to the multi-symplectic Preissman integrator is derived. Numerical experiments are also reported.
✦ LIBER ✦
Symplectic Structures for the Cubic Schrödinger Equation in the Periodic and Scattering Case
✍ Scribed by K. L. Vaninsky
- Publisher
- Springer Netherlands
- Year
- 2005
- Tongue
- English
- Weight
- 444 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1385-0172
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Symplectic and multi-symplectic methods
✍
Jing-Bo Chen; Meng-Zhao Qin; Yi-Fa Tang
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 725 KB
Numerical inverse scattering transform f
✍
A.R. Osborne
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 781 KB
A Sharp Condition for Scattering of the
✍
Justin Holmer; Svetlana Roudenko
📂
Article
📅
2008
🏛
Springer
🌐
English
⚖ 442 KB
Anderson Transitions for a Family of Alm
✍
Alexander Fedotov; Frédéric Klopp
📂
Article
📅
2002
🏛
Springer
🌐
English
⚖ 755 KB
Lp−Lp Estimates for the Schrödinger Equa
✍
Ricardo Weder
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 286 KB
In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin
Hierarchy of symplectic forms for the Sc
✍
P. P. Kulish; A. G. Reiman
📂
Article
📅
1983
🏛
Springer US
🌐
English
⚖ 656 KB