We perform three-dimensional simulations of the rise of twisted magnetic Ñux tubes in an adiabatically stratiÐed model solar convection zone. The initial Ñux tube in our simulations is a uniformly twisted, buoyant, horizontal tube located near the bottom of the stratiÐed layer. The twist of the initial Ñux tube is described by a parameter a, which is deÐned as the angular rate of Ðeld-line rota...

The algebraic geometric approach to N -component systems of nonlinear integrable PDE’s is used to obtain and analyze explicit solutions of the coupled KdV and Dym equations. Detailed analysis of soliton fission, kink to anti-kink transitions and multi-peaked soliton solutions is carried out. Transformations are used to connect these solutions to several other equations that model physical pheno...

and hosti .2013.08.0 Abstract In this paper, the topological soliton solutions of nonlinear evolution equations are obtained by the solitary wave ansatz method. Under some parameter conditions, exact solitary wave solutions are obtained. Note that it is always useful and desirable to construct exact solutions especially soliton-type (dark, bright, kink, anti-kink, etc.) envelope for the underst...

The archaeal protein L7Ae forms part of a protein complex in the ribosome that specifically recognizes and binds to kink-turn RNA. In this complex, L7Ae directly interacts with the oligonucleotide and creates a functional arrangement for site-specific 2'-O-methylation. We report the solution NMR backbone assignment of Methanocaldococcus jannaschii L7Ae (117 residues, 12.7 kDa) in the ligand-fre...

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

An internal kink instability is observed to grow and saturate in a line-tied screw pinch plasma. Detailed measurements show that an ideal, line-tied kink mode begins growing when the safety factor q = (4pi2r2B(z))/(mu0I(p)(r)L) drops below 1 inside the plasma; the saturated state corresponds to a rotating helical equilibrium. In addition to the ideal mode, reconnection events are observed to pe...

We investigate a control of chaotic solitons using a modified time-delayed autosynchronization method. Numerical results for the maximal Lyapunov exponent are in very good agreement with analytical theory developed originally for low-dimensional systems. The control is most efficient when the spatial distribution of the control force is proportional to the kink translational mode. Observations ...

We present a perturbation theory of kink solutions of discrete Klein-Gordon chains. The un-perturbed solutions correspond to the kinks of the adjoint partial differential equation. The perturbation theory is based on a reformulation of the discrete chain problem into a partial differential equation with spatially modulated mass density. The first order corrections to the kink solutions are obta...