Results 61 to 70 of about 3,922 (141)
The Darboux Transformation for a New Fractional Schrödinger Equation Hierarchy
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.It is well established that many integrable soliton equations can be constrained from the famous AKNS system. In this paper, aiming to generate new integrable soliton equations, the potentials of the AKNS system are constrained to a pair of fractional conjugate ones.
Xiao-ming Zhu +3 more
wiley +1 more source
Open Physics, 2016 The objective of this article is to implement and extend applications of adaptive control to anti-synchronize different fractional order chaotic and hyperchaotic dynamical systems.
Al-Sawalha M. Mossa, Al-Sawalha Ayman
doaj +1 more source
Modulational instability criteria for two-component Bose-Einstein condensates
, 2005 The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach.
287 +11 more
core +2 more sources
Shock structures in time averaged patterns for the Kuramoto-Sivashinsky equation
, 2000 The Kuramoto-Sivashinsky equation with fixed boundary conditions is numerically studied. Shocklike structures appear in the time-averaged patterns for some parameter range of the boundary values.
B.J. Gluckman +9 more
core +1 more source
Stabilized wave segments in an excitable medium with a phase wave at the wave back
New Journal of Physics, 2014 The propagation velocity and the shape of a stationary propagating wave segment are determined analytically for excitable media supporting excitation waves with trigger fronts and phase backs.
V S Zykov, E Bodenschatz
doaj +1 more source
Conditional random matrix ensembles and the stability of dynamical systems
New Journal of Physics, 2015 Random matrix theory (RMT) has found applications throughout physics and applied mathematics, in subject areas as diverse as communications networks, population dynamics, neuroscience, and models of the banking system.
Paul Kirk +3 more
doaj +1 more source
Finite Temperature Schr\"{o}dinger Equation
, 2011 We know Schr\"{o}dinger equation describes the dynamics of quantum systems, which don't include temperature. In this paper, we propose finite temperature Schr\"{o}dinger equation, which can describe the quantum systems in an arbitrary temperature.
Ba, Nuo +6 more
core +1 more source
Open Physics, 2019 The investigations of integrability, exact solutions and dynamics of nonlinear partial differential equations (PDEs) are vital issues in nonlinear mathematical physics.
Xu Bo, Zhang Sheng
doaj +1 more source
Number of Spin $I$ States of Identical Particles
, 2005 In this paper we study the enumeration of number (denoted as ${D_I}$) of spin $I$ states for fermions in a single-$j$ shell and bosons with spin $l$. We show that $D_I$ can be enumerated by the reduction from SU$(n+1)$ to SO(3). New regularities of $D_I$
A. Arima +5 more
core +1 more source
New Journal of Physics, 2015 We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry.
L H Haddad, C M Weaver, Lincoln D Carr
doaj +1 more source