Results 11 to 20 of about 18,489 (341)

Analytical technique and diverse chaos-identifying tools for the time fractional symmetric regularized long wave equation [PDF]

Scientific Reports
The nonlinear conformable time-fractional symmetric regularized long wave (SRLW) equation is important in physics because it captures memory effects in fluid flow and describes how weakly nonlinear pulses evolve in optical fibers.
Mohammad Safi Ullah, Md. Mehedi Hasan, Md. Aman Mahbub   +2 more
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Stability of Breathers for a Periodic Klein–Gordon Equation [PDF]

Entropy
The existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, is a very unusual feature for continuum, nonlinear wave-type equations.
Martina Chirilus-Bruckner, Jesús Cuevas-Maraver, Panayotis G. Kevrekidis   +2 more
doaj   +2 more sources

Complex interactions of breathers [PDF]

EPJ Web of Conferences, 2023
We present our recent theoretical and experimental advancements in studying complex multiple nonlinear interactions of coherent solitary wave structures on unstable background – breathers.
Gelash Andrey, Chabchoub Amin, Kibler Bertrand   +2 more
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Morphofunctional changes following adenotonsillectomy of obstructive sleep apnea children: a case series analysis

Progress in Orthodontics, 2022
Objective To perform a case series analysis of the changes in the pulmonary artery systolic pressure (PASP), nasal inspiratory flow (NIF), upper airway volume, obstructive apnea/hypopnea index (OAHI), and the maxillomandibular three-dimensional (3D ...
Mariana M. Tinano, Helena M. G. Becker, Letícia P. Franco, Claudia P. G. dos Anjos, Vinícius M. Ramos, Carolina M. F. F. Nader, Joana Godinho, Henrique de Párcia Gontijo, Bernardo Q. Souki   +8 more
doaj   +1 more source

Quantum Signatures of Breather-Breather Interactions [PDF]

Physical Review Letters, 2004
The spectrum of the Quantum Discrete Nonlinear Schr dinger equation on a periodic 1D lattice shows some interesting detailed band structure which may be interpreted as the quantum signature of a two-breather interaction in the classical case. We show that this fine structure can be interpreted using degenerate perturbation theory.
J. DORIGNAC, J. C. EILBECK, SALERNO, Mario, A. C. SCOTT   +3 more
openaire   +4 more sources

Exploring the dynamics of nonlocal nonlinear waves: Analytical insights into the extended Kadomtsev–Petviashvili model

Frontiers in Physics, 2023
The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of research. In this study, we take a closer look at the extended nonlocal Kadomtsev–Petviashvili (enKP) model through a systematic analysis of explicit solutions ...
Karuppaiya Sakkaravarthi, Sudhir Singh, Natanael Karjanto   +2 more
doaj   +1 more source

Study of Stochastic–Fractional Drinfel’d–Sokolov–Wilson Equation for M-Shaped Rational, Homoclinic Breather, Periodic and Kink-Cross Rational Solutions

Mathematics, 2023
We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution.
Shami A. M. Alsallami, Syed T. R. Rizvi, Aly R. Seadawy   +2 more
doaj   +1 more source

Grey-Black Optical Solitons, Homoclinic Breather, Combined Solitons via Chupin Liu’s Theorem for Improved Perturbed NLSE with Dual-Power Law Nonlinearity

Mathematics, 2023
In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials.
Syed T. R. Rizvi, Aly R. Seadawy, Shami A. M. Alsallami   +2 more
doaj   +1 more source

Breather Wave Molecules [PDF]

Physical Review Letters, 2019
We present both a theoretical description and experimental observation of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrödinger equation. As a general case, we show that the resulting bound state of breathers exhibits moleculelike behavior with quasiperiodic ...
Xu, Gang, Gelash, Andrey, Chabchoub, Amin, Zakharov, Vladimir, Kibler, Bertrand   +4 more
openaire   +4 more sources

Multi solitons, bifurcations, high order breathers and hybrid breather solitons for the extended modified Vakhnenko–Parkes equation

Results in Physics, 2023
This manuscript delves into a comprehensive investigation of significant exact solutions pertaining to the extended modified Vakhnenko–Parkes equation (emVPE), with a focus on novel solutions.
Yong Tang
doaj   +1 more source