Results 221 to 230 of about 746,627 (265)

Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

, 2016
Two new integrable nonlocal Davey–Stewartson equations are introduced. These equations provide two-spatial dimensional analogues of the integrable, nonlocal nonlinear Schrö-dinger equation introduced in Ablowitz and Musslimani (2013 Phys. Rev. Lett.
A. S. Fokas
semanticscholar   +1 more source

Modulation instability analysis for the generalized derivative higher order nonlinear Schrödinger equation and its the bright and dark soliton solutions

, 2017
The generalized derivative higher order non-linear Schrödinger (DNLS) equation describes pluses propagation in optical fibers and can be regarded as a special case of the generalized higher order non-linear Schrödinger equation.
A. Seadawy
semanticscholar   +1 more source

Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation.

Physical Review E, 2016
We study the nonlinear waves on constant backgrounds of the higher-order generalized nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical pulse in optical fibers.
Lei Wang, Jianhua Zhang, Zi-Qi Wang, Chong Liu, Min Li, Feng-Hua Qi, Rui Guo   +6 more
semanticscholar   +1 more source

Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation

Nonlinear dynamics, 2023
Kai-Li Geng, Bo-Wei Zhu, Qi-Hao Cao, Chao-Qing Dai, Yue‐Yue Wang   +4 more
semanticscholar   +1 more source

Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis

Optical and quantum electronics, 2023
sonia akram, J. Ahmad, Shafqat-ur-Rehman, S. Sarwar, Asghar Ali   +4 more
semanticscholar   +1 more source

Wave structures and the chaotic behaviors of the cubic-quartic nonlinear Schrödinger equation for parabolic law in birefringent fibers

Nonlinear dynamics, 2023
Yaxi Li, Yue Kai
semanticscholar   +1 more source

An exact solution for a derivative nonlinear Schrödinger equation

, 1978
A method of solution for the ’’derivative nonlinear Schrodinger equation’’ iqt=−qxx±i (q*q2)x is presented. The appropriate inverse scattering problem is solved, and the one‐soliton solution is obtained, as well as the infinity of conservation laws. Also,
D. Kaup, A. Newell
semanticscholar   +1 more source

Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation

Nonlinear dynamics, 2021
Guoli Ma, Jianbo Zhao, Qin Zhou, A. Biswas, Wenjun Liu   +4 more
semanticscholar   +1 more source

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

, 2016
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrable infinite dimensional Hamiltonian evolution equation. In this paper a detailed study of the inverse scattering transform of this nonlocal NLS equation is
M. Ablowitz, Z. Musslimani
semanticscholar   +1 more source

Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics

, 2017
Analysis of short-pulse propagation in positive dispersion media for example in optical fibers and in shallow water, requires assorted high-order derivative terms. The different dynamical features underlying soliton interactions in the generalized higher-
M. Arshad, A. Seadawy, D. Lu
semanticscholar   +1 more source