Results 181 to 190 of about 32,605 (214)

Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation [PDF]

Journal of Physics A: Mathematical and Theoretical, 2009
We highlight an interesting mapping between the moving breather solutions of the generalized nonlinear Schrödinger (NLS) equations and the static solutions of neutral scalar field theories.
Kody Law
exaly   +3 more sources

Efficiency of exponential time differencing schemes for nonlinear Schrödinger equations [PDF]

Mathematics and Computers in Simulation, 2016
The nonlinear Schrödinger (NLS) equation and its higher order extension (HONLS equation) are used extensively in modeling various phenomena in nonlinear optics and wave mechanics.
M. Hederi, A. Islas, K. Reger, C. Schober   +3 more
semanticscholar   +2 more sources

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Bright and dark optical solitons for (2+1)-dimensional Schrödinger (NLS) equations in the anomalous dispersion regimes and the normal dispersive regimes

Optik (Stuttgart), 2019
We operate the variational iteration method (VIM) for obtaining bright and dark optical solitons for (2+1)-dimensional nonlinear Schrodinger (NLS) equations, that appear in the anomalous dispersion regimes and the normal dispersive regimes respectively ...
A. Wazwaz
semanticscholar   +1 more source

Defocusing Nonlinear Schrödinger Equations

, 2019
This study of Schrodinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations.
B. Dodson
semanticscholar   +1 more source

Breather waves, high-order rogue waves and their dynamics in the coupled nonlinear Schrödinger equations with alternate signs of nonlinearities

Europhysics letters, 2019
We consider the analytic vector breather and high-order rogue wave solutions for the coupled nonlinear Schrödinger (NLS) equations with alternate signs of nonlinearities via Darboux dressing transformation.
Wei-Qi Peng, Shou‐Fu Tian, Tian‐Tian Zhang   +2 more
semanticscholar   +1 more source

Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations

Communications in nonlinear science & numerical simulation, 2018
In this paper, via the Darboux transformation (DT) method, we study the nonlocal coupled nonlinear Schrodinger (NLS) equations with parity-time ( PT )-symmetric nonlinearities.
Hai-Qiang Zhang, Min Gao
semanticscholar   +1 more source

Blow-up criteria for fractional nonlinear Schrödinger equations

Nonlinear Analysis: Real world applications, 2018
We consider the focusing fractional nonlinear Schr\"odinger equation \[ i\partial_t u - (-\Delta)^s u = -|u|^\alpha u, \quad (t,x) \in \mathbb{R}^+ \times \mathbb{R}^d, \] where $s \in (1/2,1)$ and $\alpha>0$.
Van Duong Dinh
semanticscholar   +1 more source

The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb {R}^2$$R2 with square root and saturable nonlinearities in nonlinear optics

, 2016
The virial theorem is a nice property for the linear Schrödinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies and is useful in assessing the quality of numerically computed eigenvalues ...
Tai-Chia Lin, M. Belić, M. Petrović, H. Hajaiej, Goong Chen   +4 more
semanticscholar   +1 more source

Integrable nonlocal derivative nonlinear Schrödinger equations

, 2022
M. Ablowitz, Xu‐Dan Luo, Z. Musslimani, Yi Zhu   +3 more
semanticscholar   +1 more source

Soliton Solutions of Deformed Nonlinear Schrödinger Equations Using Ansatz Method

International Journal of Applied and Computational Mathematics, 2021
T. Mathanaranjan
semanticscholar   +1 more source