scholarly journals Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

2021 ◽  
pp. 109326
Author(s):  
Thomas Duyckaerts ◽  
Oussama Landoulsi ◽  
Svetlana Roudenko
Keyword(s):  
Nls Equation ◽  
Strictly Convex ◽  
Convex Obstacle

scholarly journals Quintic NLS in the exterior of a strictly convex obstacle

2016 ◽  
Vol 138 (5) ◽  
pp. 1193-1346 ◽  
Author(s):  
Rowan Killip ◽  
Monica Visan ◽  
Xiaoyi Zhang
Keyword(s):  
Strictly Convex ◽  
Convex Obstacle

scholarly journals Solitons in the Close Binary Systems

1998 ◽  
Vol 11 (1) ◽  
pp. 398-398
Author(s):  
Kenji Tanabe
Keyword(s):  
Gravity Waves ◽  
Binary Systems ◽  
Kdv Equation ◽  
Frame Of Reference ◽  
Close Binary ◽  
Flare Activity ◽  
Lagrangian Point ◽  
Nls Equation ◽  
Close Binary Systems ◽  
The Earth

Propagation of the surface waves of the lobe-filing components of close binary systems is investigated theoretically. Such waves are considered to be analogous to the gravity waves of water on the earth. As a result, the equations of the surface wave in the rotating frame of reference are reduced to the so-called Kortewegde Vries (KdV) equation and non-linear Schroedinger (NLS) equation according to its ”depth”. Each of these equations is known to have the solution of soliton. When this soliton is sent to the other component of the binary system through the Lagrangian point, it can give rise to the flare activity observed in some kinds of close binary systems.

scholarly journals Efficient Numerical Evaluation of Thermodynamic Quantities on Infinite (Semi-)classical Chains

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Christian B. Mendl ◽  
Folkmar Bornemann
Keyword(s):  
Transfer Operator ◽  
Classical System ◽  
Free Energy Density ◽  
Classical Particle ◽  
Thermodynamic Quantities ◽  
Nls Equation ◽  
Classical Systems ◽  
Particle Chain ◽  
Dynamics Simulations ◽  
Good Agreement

AbstractThis work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combining the transfer operator approach with a numerical discretization of integral kernels using quadrature rules. For analytic kernels, the technique exhibits exponential convergence in the number of quadrature points. As demonstration, we apply the method to a classical particle chain, to the semiclassical nonlinear Schrödinger (NLS) equation and to a classical system on a cylindrical lattice. A comparison with molecular dynamics simulations performed for the NLS model shows very good agreement.

scholarly journals On the Semiclassical Limit of the General Modified NLS Equation

2001 ◽  
Vol 260 (2) ◽  
pp. 546-571 ◽  
Author(s):  
Benoı̂t Desjardins ◽  
Chi-Kun Lin
Keyword(s):  
Semiclassical Limit ◽  
Nls Equation
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