Numerical computation of soliton dynamics for NLS equations in a driving potential

Marco Caliari, Marco Squassina

Type: Preprint

Publication Date: 2009-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.0908.3648

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+	Perturbation Methods and Semilinear Elliptic Problems on Rn	2006	Antonio Ambrosetti Andrea Malchiodi
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein
+ PDF Chat	Multichannel nonlinear scattering for nonintegrable equations II. The case of anisotropic potentials and data	1992	Avy Soffer Michael I. Weinstein
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss
+ PDF Chat	Soliton dynamics in a potential	2000	Jared C. Bronski Robert L. Jerrard
+	Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential	1986	Andreas Floer Alan Weinstein
+	Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method	2007	Shi Jin Xu Yang
+	On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation	2002	Jürg Fröhlich Tai‐Peng Tsai Horng‐Tzer Yau
+	Why are solitons stable?	2008	Terence Tao
+	Soliton Interaction with Slowly Varying Potentials	2008	Justin Holmer Maciej Zworski