Results 81 to 90 of about 48,699 (224)

Unification of integrable q-difference equations

Electronic Journal of Differential Equations, 2015
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj  

New dark-bright soliton in the shallow water wave model

AIMS Mathematics, 2020
In this paper, we employ the sine-Gordon expansion method to shallow water wave models which are Kadomtsev-Petviashvili-Benjamin-Bona-Mahony and the Benney-Luke equations.
Gulnur Yel, Haci Mehmet Baskonus, Wei Gao   +2 more
doaj   +1 more source

Group-invariant soliton equations and bi-Hamiltonian geometric curve flows in Riemannian symmetric spaces

, 2007
Universal bi-Hamiltonian hierarchies of group-invariant (multicomponent) soliton equations are derived from non-stretching geometric curve flows $\map(t,x)$ in Riemannian symmetric spaces $M=G/H$, including compact semisimple Lie groups $M=K$ for $G=K ...
Anco, Anco, Anco, Anco, Anco, Athorne, Athorne, Bishop, Chou, Chou, Chou, Chou, Doliwa, Dorfman, Goldstein, Guggenheimer, Gurses, Helgason, Kobayashi, Lamb, Langer, Magri, Magri, Mari Beffa, Mari Beffa, Nakayama, Olver, Sanders, Sanders, Sergyeyev, Sharpe, Sokolov, Stephen C. Anco, Wang   +33 more
core   +4 more sources

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, EarlyView.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Bilinear Equations and B\"acklund Transformation for Generalized Ultradiscrete Soliton Solution

, 2010
Ultradiscrete soliton equations and B\"acklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscrete Toda equation in a special case. We also express the solution by the
Daisuke Takahashi, Hidetomo Nagai, Inoue R Iwao S, Isojima S, Kuniba A Takagi T, Nagai H, Shinzawa N   +6 more
core   +1 more source

Temperature‐robust exchange bias and spin‐orbit torque switching in van der Waals heterostructure

InfoMat, EarlyView.
Exchange bias (EB) in ferromagnetic/antiferromagnetic materials enables high‐density spintronic devices. A Fe3GaTe2/NiPS3 heterostructure exhibits EB up to 150 K, with spin orbit torque switching observed in both stacking orders. Interface layer effects induce net magnetism and magnetization flipping via Fe3GaTe2 domains, with strong interlayer ...
Obaid Iqbal, Zahir Muhammad, Wajid Ali, Fuzhou Wang, Md Shafayat Hossain, Azizur Rahman, Saleh S. Alarfaji, Yue Zhang, Xiaoyang Lin, M. Zahid Hasan, Weisheng Zhao   +10 more
wiley   +1 more source

Soliton equations solved by the boundary CFT

, 2003
Soliton equations are derived which characterize the boundary CFT a la Callan et al. Soliton fields of classical soliton equations are shown to appear as a neutral bound state of a pair of soliton fields of BCFT. One soliton amplitude under the influence
Saito, Satoru, Sato, Ryuichi
core   +1 more source

Discrete soliton equation hierarchy [PDF]

AIP Conference Proceedings, 2013
It is known that the continuous soliton equations such as the KdV equation have hierarchy structures. A higher order KdV equation constituting the hierarchy includes higher order derivative terms in the equation. The Toda equation is characterized by discreteness in the space dimension.
openaire   +1 more source

Dispersion‐Less Dissipative Soliton Fiber Laser

Laser &Photonics Reviews, EarlyView.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed, Aurélien Coillet, Philippe Grelu   +2 more
wiley   +1 more source

A Characterization of Discrete Time Soliton Equations

, 2001
We propose a method to characterize discrete time evolution equations, which generalize discrete time soliton equations, including the $q$-difference Painlev\'e IV equations discussed recently by Kajiwara, Noumi and Yamada.Comment: 13 ...
Conte R., Freeman N. C., Grammaticos B., Hietarinta J., Hirota R., Hirota R., Hirota R., Hirota R., Jimbo M., Joshi N., Kupershmidt B., Narita Y., Nijhoff F., Ohta Y., Quispel G.   +14 more
core   +1 more source