Results 71 to 80 of about 902,254 (275)

A new extended (2+1)-dimensional Kadomtsev–Petviashvili equation with N-solitons, periodic solutions, rogue waves, breathers and lump waves

Results in Physics, 2022
In this work, a new extended integrable (2+1)-dimensional Kadomtsev–Petviashvili equation is proposed and investigated, which models slowly varying perturbation wave in dispersion fluids.
Lingfei Li, Yingying Xie, Yongsheng Yan, Mancang Wang   +3 more
doaj   +1 more source

Bright–dark soliton solutions of the multi-component AB system [PDF]

Wave motion, 2018
In this paper we investigate the multi-component AB system that comes from the geophysical fluid dynamics. We construct bright-dark soliton solutions through Hirota's bilinear method.
Zong-Wei Xu, Guo-Fu Yu, Zuo-nong Zhu
semanticscholar   +1 more source

A constructive approach to the soliton solutions of integrable quadrilateral lattice equations

, 2009
Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Backlund transformation, and the method of solving a Riccati map by exploiting two ...
A.I. Bobenko, C.M. Viallet, F.W. Nijhoff, F.W. Nijhoff, Frank Nijhoff, H.D. Wahlquist, J. Atkinson, J. Atkinson, J. Hietarinta, J. Weiss, J. Weiss, James Atkinson, R. Hirota, R. Hirota, V.E. Adler, V.E. Adler, V.E. Adler, V.E. Adler, V.E. Zakharov, V.E. Zakharov, V.M. Buchstaber, Y. Ohta   +21 more
core   +1 more source

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

Spintronic Bayesian Hardware Driven by Stochastic Magnetic Domain Wall Dynamics

Advanced Science, EarlyView.
Magnetic Probabilistic Computing (MPC) utilizes intrinsic stochastic dynamics in domain walls to establish a hardware foundation for uncertainty‐aware artificial intelligence. Thermally driven domain‐wall fluctuations, voltage‐controlled magnetic anisotropy, and TMR readout enable fully electrical, tunable probabilistic inference.
Tianyi Wang, Bingqian Dai, Shijie Xu, Kin Wong, Yaochen Li, Yang Cheng, Qingyuan Shu, Haoran He, Puyang Huang, Hanshen Huang, Xixiang Zhang, Kang L. Wang   +11 more
wiley   +1 more source

Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation

Results in Physics, 2021
In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
doaj   +1 more source

An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

, 2008
An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation.
Ablowitz M J, Ablowitz M J, Bao-Feng Feng, Dai H H, Ferreira M C, Grammaticos B, Holden H, Hone A N W, Iwasaki M, Ken-ichi Maruno, Kraenkel R A, Levi D, Yasuhiro Ohta   +12 more
core   +1 more source

Near‐Infrared Cocrystal Nanofluorophore with Enhanced Two‐Photon Absorption Cross Sections

Advanced Science, EarlyView.
In this study, organic cocrystal nanoparticles (BP4TC‐NPs) were prepared via a nanoprecipitation method using an amphiphilic surfactant. The resulting cocrystal nanoparticles exhibit exceptional nonlinear optical properties and bioimaging capabilities.
Liangmeng Hao, Ying Ni, Jiawei Huang, Yucheng Wang, Fan Liu, Xu Wang, Lei Kang, Zheshuai Lin, Weigang Zhu   +8 more
wiley   +1 more source

Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients

Open Physics, 2016
In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
doaj   +1 more source

The Exp-Function Method and n-Soliton Solutions

Zeitschrift für Naturforschung A, 2008
We generalize the exp-function method recently proposed by He and Wu [Chaos, Solitons and Fractals 30, 700 (2006)]. We apply this generalized method to the Korteweg-de Vries equation and derive the known 2-soliton and 3-soliton solutions. We also discuss the efficiency, as well as the drawbacks of the proposed method.
openaire   +1 more source