Showing 1 - 10 of 14
Soliton-like switching regimes are investigated for chains of bistable unit cells with energy non-degenerate ground … states. It is shown that there is a set of equilibrium soliton velocities in the chains of bistable units with complicated … internal structure. There are two essentially different regions of soliton initial velocities, so that the low external …
Persistent link: https://www.econbiz.de/10010873929
Polymer conformational dynamics caused by soliton-like excitations propagation has been investigated. A full set of …
Persistent link: https://www.econbiz.de/10010590454
transformation (DT). The mutual interactions of multinegaton and interactions of negaton–soliton and negaton–positon are discussed in …
Persistent link: https://www.econbiz.de/10010590744
of the soliton amplitude and width. The soliton energy is depleted as q increases. …
Persistent link: https://www.econbiz.de/10010777048
Solitary wave solutions exhibited at the onset of the phase transition in fluidized granular matter are perused. In the quasi-sonic limit the system is modeled by two Korteweg de Vries equations. We study the solitary wave interactions in order to understand the rich dynamics exhibited by the...
Persistent link: https://www.econbiz.de/10010873597
We propose a discrete model of alpha-helical proteins by taking into account dipole and quadrupole type molecular excitations. The interaction properties of multisolitons are studied both analytically and numerically. We investigate the conditions for the modulation instability (MI) of plane...
Persistent link: https://www.econbiz.de/10011057584
to the linear eigenvalue problem associated with this equation, and obtain the multi-soliton solution with a purely …, although the amplitude, width and depth of soliton vary periodically with time and its symmetry property is changeable, the … soliton can also propagate stably and it possesses particle-like behavior. …
Persistent link: https://www.econbiz.de/10011057776
nonlinear Schrödinger hierarchy. The general explicit formula for N-soliton solution is derived in terms of Vandermonde …-like determinant expression. On the zero background, two different families of soliton solutions (multi-line soliton and multi …-parabola soliton solutions) are constructed by applying the Darboux transformation successively. Based on the figures for several …
Persistent link: https://www.econbiz.de/10011058510
We investigate the dynamics of alpha-helical proteins with dipole and quadrupole type molecular excitations. Performing the symbolic computation on the iterative algorithm of Darboux transformation, we present the multisoliton solutions for the resulting fourth order nonlinear Schrödinger (NLS)...
Persistent link: https://www.econbiz.de/10011062281
transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already …
Persistent link: https://www.econbiz.de/10011063764