Exponential time integration of solitary waves of cubic Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.01.001 ◽

2015 ◽

Vol 91 ◽

pp. 26-45 ◽

Author(s):

B. Cano ◽

A. González-Pachón

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Time Integration ◽

Exponential Time ◽

Cubic Schrödinger Equation ◽

Exponential Time Integration

Download Full-text

A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1101458 ◽

2015 ◽

Vol 94 (2) ◽

pp. 230-251 ◽

Author(s):

A. G. Bratsos ◽

A. Q. M. Khaliq

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Exponential Time ◽

Exponential Time Differencing ◽

Cubic Schrödinger Equation ◽

Exponential Time Differencing Method

Download Full-text

Scattering of quantized solitary waves in the cubic Schrödinger equation

Physical Review D ◽

10.1103/physrevd.13.528 ◽

1976 ◽

Vol 13 (2) ◽

pp. 528-530 ◽

Author(s):

L. Dolan

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Cubic Schrödinger Equation

Download Full-text

The existence of countably many stable cycles for a generalized cubic Schrödinger equation in a planar domain

Izvestiya Mathematics ◽

10.1070/im2003v067n06abeh000462 ◽

2003 ◽

Vol 67 (6) ◽

pp. 1213-1242

Author(s):

Andrei Yu Kolesov ◽

Nikolai Kh Rozov

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Planar Domain ◽

Cubic Schrödinger Equation

Download Full-text

Efficient exponential time integration for simulating nonlinear coupled oscillators

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113429 ◽

2021 ◽

Vol 391 ◽

pp. 113429

Author(s):

Vu Thai Luan ◽

Dominik L. Michels

Keyword(s):

Coupled Oscillators ◽

Time Integration ◽

Exponential Time ◽

Nonlinear Coupled Oscillators ◽

Exponential Time Integration

Download Full-text

Solitary waves of the non-local Schrödinger equation with arbitrary refractive index

Optik ◽

10.1016/j.ijleo.2021.166443 ◽

2021 ◽

Vol 231 ◽

pp. 166443

Author(s):

Nikolay A. Kudryashov

Keyword(s):

Refractive Index ◽

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Download Full-text

The Nonlinear Schrödinger Equation and Solitary Waves

Nonlinear Partial Differential Equations for Scientists and Engineers ◽

10.1007/978-1-4899-2846-7_10 ◽

1997 ◽

pp. 405-451

Author(s):

Lokenath Debnath

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

Download Full-text

Variational approach to studying solitary waves in the nonlinear Schrödinger equation with complex potentials

Physical Review E ◽

10.1103/physreve.94.032213 ◽

2016 ◽

Vol 94 (3) ◽

Author(s):

Franz G. Mertens ◽

Fred Cooper ◽

Edward Arévalo ◽

Avinash Khare ◽

Avadh Saxena ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Variational Approach ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Complex Potentials ◽

Nonlinear Schrödinger

Download Full-text

Existence of solitary waves for the discrete Schrödinger equation coupled to a nonlinear oscillator

Russian Journal of Mathematical Physics ◽

10.1134/s1061920808040067 ◽

2008 ◽

Vol 15 (4) ◽

pp. 487-492 ◽

Author(s):

E. A. Kopylova

Keyword(s):

Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Oscillator ◽

Discrete Schrödinger Equation

Download Full-text

Strong and Weak Turbulence for Gravity Waves and The Cubic Schrödinger Equation

Nonlinear Waves and Weak Turbulence ◽

10.1007/978-1-4612-0331-5_6 ◽

1993 ◽

pp. 97-120 ◽

Author(s):

H. H. Shen

Keyword(s):

Schrödinger Equation ◽

Gravity Waves ◽

Schrodinger Equation ◽

Weak Turbulence ◽

Cubic Schrödinger Equation

Download Full-text

Group-invariant solutions of the (2+1)-dimensional cubic Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/12/008 ◽

2006 ◽

Vol 39 (12) ◽

pp. 2973-2993 ◽

Author(s):

C Özemir ◽

F Güngör

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Solutions ◽

Group Invariant ◽

Cubic Schrödinger Equation ◽

Group Invariant Solutions

Download Full-text