Results 121 to 130 of about 278,413 (313)

Extended Mixed Function Method and Its Application for Solving Two Classic Toda Lattice Equations

Discrete Dynamics in Nature and Society, 2011
The mixed function method is extended from the (1+1)-dimensional space to the (2+1)-dimensional one, even those forms of exact solution do not exist in (1+1)-dimensional NDDEs.
Weiguo Rui, Xinsong Yang
doaj   +1 more source

Effect of Laser Posterior Nasal Neurolysis for the Treatment of Chronic Rhinitis: A Randomized Controlled Trial

International Forum of Allergy &Rhinology, EarlyView.
ABSTRACT Background To determine the safety and efficacy of laser ablation of the posterior nasal nerve (PNN) for the treatment of chronic rhinitis. Methods This study was a single‐center, prospective, single‐blinded, randomized sham‐controlled trial. Patients with a 24‐h reflective Total Nasal Symptom Score (rTNSS) ≧ 5, rhinorrhea ≧ 2, and congestion ≧
Jyun‐Yi Liao, En‐Ying Wang, Ying‐Shuo Hsu, Ming‐Shao Tsai, Cheng‐Jung Wu, Chia‐Hao Chang, Yi‐Li Hwang, Han‐Lo Teng, Jun‐Wei Hsieh, Chien‐Yu Huang   +9 more
wiley   +1 more source

Dynamics of Lump-periodic, breather and two-wave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice

, 2021
A lump solution is a rational function solution which is real analytic and decays in all directions of space variables. The equation under consideration in this study is the (2 + 1)- dimensional generalized fifth-order KdV equation which demonstrates ...
Yusuf, Abdullahi, Sulaiman, Tukur Abdulkadir   +1 more
core   +1 more source

Structure of breathers and lump solutions for generalized Longitudinal Lugiato Lefever equation in externally-driven ring lasers

Boundary Value Problems
Lump and breather-type solutions have recently gained wide interest in nonlinear optics because of their fundamental importance in photonic systems and wave propagation studies.
Sarfaraz Ahmed, Ibtehal Alazman, Syed T. R. Rizvi, Aly R. Seadawy   +3 more
doaj   +1 more source

Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation

Mathematics
In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave solutions of a (2+1)-dimensional variable-coefficient extended shallow-water wave (vc-eSWW) equation are obtained based on its bilinear form.
Tianwei Qiu, Zhen Wang, Xiangyu Yang, Guangmei Wei, Fangsen Cui   +4 more
doaj   +1 more source

Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid

Heliyon, 2018
Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an ...
Md. Mamunur Roshid, Harun-Or Roshid
doaj   +1 more source

Quantum Phenomena in Molecular and Biological Systems: A Decoherence‐Based Decision Framework With Falsifiable Predictions and a Failure‐Mode Taxonomy

Advanced Physics Research, EarlyView.
A physics‐grounded framework based on decoherence timescales (τ_dec vs τ_func), Markovian validity, and falsifiability criteria is applied across molecular systems to distinguish where quantum effects are necessary, marginal, or irrelevant. The analysis integrates quantum chemistry, biological quantum mechanisms, and quantum computing under a unified ...
Sarfaraz K. Niazi
wiley   +1 more source

Solitonic wave solutions of a Hamiltonian nonlinear atom chain model through the Hirota bilinear transformation method

Open Physics
This study employs the Hirota bilinear transformation method to investigate solitary and soliton solutions resulting from different symmetry wave functions associated with nonlinear atom chain models. These models are complex dynamic systems that have an
Ceesay Baboucarr, Baber Muhammad Z., Ahmed Nauman, Macías Siegfried, Macías-Díaz Jorge E., Medina-Guevara María G.   +5 more
doaj   +1 more source

Breather Solutions to a Two-dimensional Nonlinear Schr\"odinger Equation with Non-local Derivatives

, 2022
We consider the nonlinear Schr\"odinger equation with non-local derivatives in a two-dimensional periodic domain. For certain orders of derivatives, we find a new type of breather solution dominating the field evolution at low nonlinearity levels.
Pan, Yulin, Hrabski, Alexander
core  

Recent Advances in Stimulated Brillouin Scattering in Integrated Photonics

Advanced Physics Research, EarlyView.
This review systematically surveys recent advances in stimulated Brillouin scattering (SBS) within integrated photonics. It begins by elucidating the fundamental mechanisms of stimulated coupling between photons and acoustic phonons in nanoscale waveguides, enhanced by the photoelastic and moving boundary effects.
Songyue Liu, Qi Lu, Pan Hu, Yuan Zhong, Yu He, Yaojing Zhang, Young‐Ik Sohn, Yikai Su, Lu Sun   +8 more
wiley   +1 more source