Results 41 to 50 of about 3,706 (195)

A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions

Abstract and Applied Analysis, 2013
We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton ...
Xianbin Wu, Weiguo Rui, Xiaochun Hong
doaj   +1 more source

Solitons in 4d Wess-Zumino-Witten models -- Towards unification of integrable systems -- [PDF]

Open Communications in Nonlinear Mathematical Physics
We construct soliton solutions of the four-dimensional Wess-Zumino-Witten (4dWZW) model in the context of a unified theory of integrable systems with relation to the 4d/6d Chern-Simons theory.
Masashi Hamanaka, Shan-Chi Huang
doaj   +1 more source

Guiding and Manipulating Light Fields in Microstructured Liquid Crystals

Advanced Physics Research, EarlyView.
This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang, Yong‐shuai Li, Jin‐hui Chen   +2 more
wiley   +1 more source

Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Partial Differential Equations in Applied Mathematics
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah   +5 more
doaj   +1 more source

Renormalization and Quantum Correction of Soliton Solutions [PDF]

Progress of Theoretical Physics, 1980
Summary: The renormalization procedure for soliton solutions in quantum systems in the framework of canonical formalism of quantum field theory is formulated. The steps of the calculation are put in a systematic form and a detailed account of each step is given. It is shown that further renormalization is not needed in the presence of solitons; one can
Semenoff, G., Matsumoto, H., Umezawa, H.
openaire   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Embedded Soliton Solutions: A Variational Study

Acta Physica Polonica A, 2008
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
Pal, Debabrata, Ali, Sk. Golam, Talukdar, B.   +2 more
openaire   +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

Strain Imaging of GaAs by Stimulated Raman Scattering Microscopy

Journal of Raman Spectroscopy, EarlyView.
Telecom‐wavelength stimulated Raman scattering (SRS) microscopy is developed for high‐throughput, nondestructive characterization of gallium arsenide (GaAs). By overcoming optical absorption limits of conventional Raman systems, this technique enables precise visualization of LO phonon frequency variations (< 0.2‐cm−1$$ {}^{-1} $$ precision).
Yuki Sano, Yasuyuki Ozeki
wiley   +1 more source

Octave‐Spanning, Deterministic Single Soliton Generation in 4H‐Silicon Carbide‐On‐Insulator Microring Resonators

Laser &Photonics Reviews, EarlyView.
The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng, Liping Zhou, Chengli Wang, Yanjing Zhao, Ailun Yi, Kresten Yvind, Xin Ou, Minhao Pu   +7 more
wiley   +1 more source