of the soliton amplitude and width. The soliton energy is depleted as q increases. …

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 …

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. …

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 …

transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already …

it. In addition, we study the modulation instability aspects and obtain the conditions for soliton formation. …