Results 51 to 60 of about 39,926 (178)

Negative order MKdV hierarchy and a new integrable Neumann-like system

, 2002
The purpose of this paper is to develop the negative order MKdV hierarchy and to present a new related integrable Neumann-like Hamiltonian flow from the view point of inverse recursion operator and constraint method.
Ablowitz, Alber, Alber, Andree, Antonowicz, Antonowicz, Arnol'd, Camassa, Cao, Case, Chern, Fordy, Knoerrer, Olver, Qiao, Qiao, Qiao, Qiao, Verosky, Wadati, Wadati, Walter Strampp, Zakharov, Zakharov, Zhijun Qiao, Zhou, Zhou   +26 more
core   +1 more source

Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices

Nuclear Physics B, 2015
A Josephson junction is made of two superconductors sandwiching an insulator, and a Josephson vortex is a magnetic vortex (flux tube) absorbed into the Josephson junction, whose dynamics can be described by the sine-Gordon equation.
Muneto Nitta
doaj   +1 more source

Vortices and chirality in multi-band superconductors

, 2012
We investigate several important properties of multi-band superconductors. They are time-reversal symmetry breaking, chirality and fractional quantum flux vortices in three-band superconductors.
Hase, Izumi, Tanaka, Yasumoto, Yamaji, Kunihiko, Yanagisawa, Takashi   +3 more
core   +1 more source

Symplectic deformations of integrable field theories and AdS/CFT

Physics Letters B, 2014
Relativistic integrable field theories like the sine-Gordon equation have an infinite set of conserved charges. In a light-front formalism these conserved charges are closely related to the integrable modified KdV hierarchy at the classical level.
Timothy J. Hollowood, J. Luis Miramontes
doaj   +1 more source

Highly dispersive optical solitons in fiber Bragg gratings for stochastic Lakshmanan–Porsezian–Daniel equation with spatio-temporal dispersion and multiplicative white noise

Results in Physics, 2023
Nonlinear partial differential equations serve as key components for the mathematical representation of engineering phenomena across several domains within the known universe.
Elsayed M.E. Zayed, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Nehad Ali Shah, Jae Dong Chung   +6 more
doaj   +1 more source

Nekrasov Functions and Exact Bohr-Sommerfeld Integrals

, 2009
In the case of SU(2), associated by the AGT relation to the 2d Liouville theory, the Seiberg-Witten prepotential is constructed from the Bohr-Sommerfeld periods of 1d sine-Gordon model.
A Alexandrov, A Gerasimov, A Gerasimov, A Gorsky, A Gorsky, A Klemm, A Marshakov, A Marshakov, A Marshakov, A Mironov, A Mironov, A Mironov, A Mironov, A Mironov, A Mironov, A Morozov, A Morozov, A Zwaan, A. Mironov, A. Morozov, AS Alexandrov, AS Alexandrov, AS Alexandrov, AS Alexandrov, DV Nanopoulos, G Wentzel, H Awata, H Itoyama, H Itoyama, HA Kramers, J Sonnenschein, JL Dunham, L Brillouin, LF Alday, LF Alday, M Gutzwiller, M Gutzwiller, N Drukker, N Drukker, N Seiberg, N Seiberg, N Wyllard, NA Nekrasov, NA Nekrasov, NA Nekrasov, PC Argyres, R Donagi, R Poghossian, S Kharchev, S Kharchev, SM Iguri, VS Dotsenko   +51 more
core   +1 more source

Multiple mixed solutions of the nonlocal sine-Gordon equation

European Physical Journal C: Particles and Fields
In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types
Jian Li, Junsheng Duan, Yan Li, Chuanzhong Li   +3 more
doaj   +1 more source

Convergence Analysis of the Finite Difference Solution for the Nonlinear Klein-Gordon Equation [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2008
This paper is devoted to drive the matrix algebraic equation for the one-dimensional nonlinear Klein-Gordon equation which is obtained from using the implicit finite difference method. The convergence analysis of the solution is discussed.
Ekhlass Al-Rawi
doaj   +1 more source

Solutions of the Hyperbolic sine–Gordon Equations [PDF]

International Journal of Theoretical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Bistability in sine-Gordon: the ideal switch

, 2005
The sine-Gordon equation, used as the representative nonlinear wave equation, presents a bistable behavior resulting from nonlinearity and generating hysteresis properties.
D. Barday, G. Costabile, J. Leon, P. F. Byrd, R. Khomeriki   +4 more
core   +3 more sources