Results 71 to 80 of about 48,699 (224)

Analytical discovery of dark soliton lattices in (2+1)-dimensional generalized fractional Kundu-Mukherjee-Naskar equation

AIMS Mathematics
This research explored optical soliton solutions for the (2+1)-dimensional generalized fractional Kundu-Mukherjee-Naskar equation (gFKMNE), which is a nonlinear model for explaining pulse transmission in communication structures and optical fibers.
Abdulah A. Alghamdi
doaj   +1 more source

Comments on whether nonlinear fractional partial differential equations have soliton solutions

Partial Differential Equations in Applied Mathematics, 2022
It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
doaj   +1 more source

Soliton Fay identities. I. Dark soliton case

, 2014
We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models.
Vekslerchik, V. E.
core   +1 more source

Soliton dynamics for fractional Schrödinger equations [PDF]

Applicable Analysis, 2013
22 ...
Secchi, S., Squassina, Marco
openaire   +3 more sources

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

The similarities and differences of different plane solitons controlled by (3 + 1) – Dimensional coupled variable coefficient system

Journal of Advanced Research, 2020
In this paper, a system with controllable parameters for describing the evolution of polarization modes in nonlinear fibers is studied. Using the Horita’s method, the coupled nonlinear Schrödinger equations are transformed into the bilinear equations ...
Xiaoyan Liu, Qin Zhou, Anjan Biswas, Abdullah Kamis Alzahrani, Wenjun Liu   +4 more
doaj   +1 more source

A study of resonance Y-type multi-soliton solutions and soliton molecules for new (2+1)-dimensional nonlinear wave equations

AIMS Mathematics, 2022
In this study, a fourth-order nonlinear wave equation with variable coefficients was investigated. Through appropriate choice of the free parameters and using the simplified linear superposition principle (LSP) and velocity resonance (VR), the examined ...
Chun-Ku Kuo , Dipankar Kumar, Chieh-Ju Juan   +2 more
doaj   +1 more source

Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation

Contributions to Plasma Physics, EarlyView.
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira, M. H. Benetti, I. L. Caldas   +2 more
wiley   +1 more source

Integrable Theory of the Perturbation Equations

, 1996
An integrable theory is developed for the perturbation equations engendered from small disturbances of solutions. It includes various integrable properties of the perturbation equations: hereditary recursion operators, master symmetries, linear ...
B. Fuchssteiner, Ballantyne, Chen, Currò, David, Dorfman, Elgin, Fuchssteiner, Fuchssteiner, Fuchssteiner, Fuchssteiner, Gel'fand, Grimshaw, Herman, Karpman, Keener, Kivshar, Kodama, Kraenkel, Kraenkel, Ma, Ma, Ma, Ma, Ma, Ma, Magri, Matsuno, Oevel, Olver, Schwarz, Tamizhmani, Tanaka, W.X. Ma, Wadati, Zakharov   +35 more
core   +2 more sources

Enhanced Nonlinear Optical Absorption Properties and Carrier Dynamics of Violet Phosphorene by Oxidation for Ultrafast Photonic Applications

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li, Han Pan, Qingling Tang, Zhongben Pan, Hongwei Chu, Ying Li, Dechun Li   +6 more
wiley   +1 more source