Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials

Zhongyi Huang; Shi Jin; Peter A. Markowich; Christof Sparber

doi:10.1137/070699433

Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials

Multiscale Modeling and Simulation ◽

10.1137/070699433 ◽

2008 ◽

Vol 7 (2) ◽

pp. 539-564 ◽

Cited By ~ 11

Author(s):

Zhongyi Huang ◽

Shi Jin ◽

Peter A. Markowich ◽

Christof Sparber

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Periodic Potentials

Download Full-text

A Collective Coordinate Approach to the One-Dimensional Nonlinear Schrödinger Equation with Spatial Periodic Potentials

NATO ASI Series - Future Directions of Nonlinear Dynamics in Physical and Biological Systems ◽

10.1007/978-1-4899-1609-9_14 ◽

1993 ◽

pp. 85-96

Author(s):

A. R. Bishop ◽

Rainer Scharf

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Periodic Potentials ◽

Collective Coordinate ◽

The One

Download Full-text

Numerical Simulation of Nonlinear Schrödinger Equation in One and Two Dimensions

Mathematical Models and Computer Simulations ◽

10.1134/s2070048219040070 ◽

2019 ◽

Vol 11 (4) ◽

pp. 634-648 ◽

Cited By ~ 3

Author(s):

Geeta Arora ◽

Varun Joshi ◽

R. C. Mittal

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensions ◽

Nonlinear Schrödinger

Download Full-text

Numerical simulation of the semi-classical limit of the focusing nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/s0375-9601(99)00133-4 ◽

1999 ◽

Vol 254 (6) ◽

pp. 325-336 ◽

Cited By ~ 38

Author(s):

Jared C. Bronski ◽

J. Nathan Kutz

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Classical Limit ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Length-scale competition for the one-dimensional nonlinear Schrödinger equation with spatially periodic potentials

Physical Review E ◽

10.1103/physreve.47.1375 ◽

1993 ◽

Vol 47 (2) ◽

pp. 1375-1383 ◽

Cited By ~ 72

Author(s):

Rainer Scharf ◽

A. R. Bishop

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Length Scale ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Periodic Potentials ◽

Spatially Periodic ◽

The One

Download Full-text

Numerical Simulation of Coupled Nonlinear Schrodinger Equation by RDTM and Comparison with DTM

Journal of Applied Sciences ◽

10.3923/jas.2011.3454.3463 ◽

2011 ◽

Vol 11 (20) ◽

pp. 3454-3463 ◽

Cited By ~ 1

Author(s):

Reza Abazari

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Download Full-text

Numerical simulation of blow-up solutions of the vector nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.66.036701 ◽

2002 ◽

Vol 66 (3) ◽

Cited By ~ 4

Author(s):

James Coleman ◽

Catherine Sulem

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation

Nonlinear Dynamics ◽

10.1007/s11071-018-4724-x ◽

2018 ◽

Vol 95 (4) ◽

pp. 2825-2836 ◽

Cited By ~ 2

Author(s):

Om Prakash Yadav ◽

Ram Jiwari

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Analytical Solutions ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Numerical simulation of coupled nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(01)00324-x ◽

2001 ◽

Vol 56 (6) ◽

pp. 547-562 ◽

Cited By ~ 69

Author(s):

M.S. Ismail ◽

Thiab R. Taha

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

Download Full-text

Numerical simulation of a laser pulse self-focusing process in a dielectric based on the nonlinear Schrödinger equation

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rjnamm.2009.005 ◽

2009 ◽

Vol 24 (1) ◽

Author(s):

Yu. I. Shokin ◽

B. E. Vitkovskii ◽

M. P. Fedoruk

Keyword(s):

Numerical Simulation ◽

Laser Pulse ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Self Focusing

Download Full-text

Numerical simulation of resonant tunneling of fast solitons for the nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2011.29.1637 ◽

2011 ◽

Vol 29 (4) ◽

pp. 1637-1649 ◽

Cited By ~ 4

Author(s):

Walid K. Abou Salem ◽

◽

Xiao Liu ◽

Catherine Sulem ◽

Keyword(s):

Numerical Simulation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Resonant Tunneling ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text