Results 11 to 20 of about 36,271 (185)

Explicit solitary wave structure for the stochastic resonance nonlinear Schrödinger equation under Brownian motion with dynamical analysis [PDF]

Scientific Reports
This study, analyzed the explicit solitary wave soliton for the stochastic resonance nonlinear Schrödinger equation under the Brownian motion. The Schrödinger equations are mostly used to describe how light moves via planar wave guides and nonlinear ...
Sumaira Nawaz, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Ebrima Bittaye, Muhammad Waqas Yasin   +4 more
doaj   +2 more sources

Exact Multisoliton Solutions of General Nonlinear Schrödinger Equation with Derivative [PDF]

The Scientific World Journal, 2014
Multisoliton solutions are derived for a general nonlinear Schrödinger equation with derivative by using Hirota’s approach. The dynamics of one-soliton solution and two-soliton interactions are also illustrated.
Qi Li, Qiu-yuan Duan, Jian-bing Zhang
doaj   +2 more sources

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization [PDF]

Scientific Reports
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki, Katsuhiro Endo, Mayu Muramatsu   +2 more
doaj   +2 more sources

Analytic solutions of the chiral nonlinear schrödinger equations investigated by an efficient approach

International Journal of Physical Research, 2019
This paper studies the chiral nonlinear Schrödinger equations, describing a central role in the developments of quantum me-chanics, particularly in the field of quantum Hall effect, where chiral excitations are known to appear. More precisely, in this paper, we acquired new exact solutions of the chiral nonlinear (1+1) and (1+2)-dimensional Schrà ...
K. M. Abdul Al Woadud, Dipankar Kumar, Md. Jahirul Islam, Md. Imrul Kayes, Atish Kumar Joardar   +4 more
openaire   +2 more sources

Multiple Breathers on a Vortex Filament [PDF]

, 2014
In this paper we investigate the correspondence between the Da Rios-Betchov equation, which appears in the three-dimensional motion of a vortex filament, and the nonlinear Schrödinger equation.
Akhmediev, Akhmediev, Donnelly, Dysthe, H Salman, Hasimoto, Kelvin, Kuznetsov, L'vov, Ma, Pismen, Pitaevskii, Ricca   +12 more
core   +1 more source

Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions [PDF]

, 2008
In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived.
Berezin, Das, Das, Das, EFIM PELINOVSKY, Engelbrecht, Grimshaw, Lonngren, MICHAEL S. RUDERMAN, Tagare, TATYANA TALIPOVA   +10 more
core   +1 more source

Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups

Universe, 2022
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev, Alexander Shapovalov, Dmitry Gitman   +2 more
doaj   +1 more source

Higher-order integrable evolution equation and its soliton solutions [PDF]

, 2014
We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and ...
Akhmediev, Nail, Ankiewicz, Adrian
core   +1 more source

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions

Boundary Value Problems, 2020
In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu, Songhai Qin, Zhibin Liu, Yi Wang   +3 more
doaj   +1 more source

Novel Optical Soliton Waves in Metamaterials with Parabolic Law of Nonlinearity via the IEFM and ISEM

Journal of Function Spaces, 2022
Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li, Jalil Manafian, Mostafa Abotaleb, Onur Alp Ilhan, Atheer Y. Oudah, A. S. Prakaash   +5 more
doaj   +1 more source