As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of ...

In a typical solitonic distribution, the soliton density is distributed over the entire moleculeand the present work shows how its density can be decomposed into solitonic and antisolitoniccomponents. It is found that there exists a unique electron as soliton over the anionicnanoconductor, while there are many other solitons and antisolitons. The solitonic states are furtherdecomposed to the ca...

In this paper, following previous contributions, a deeper analysis on the propagation of a single soliton in a fiber with lumped amplifiers is carried out using a simple analytical approach, physically well based. The initial transient, the ripple and the smooth spread suffered by a soliton in a generic transmission system are investigated and understood quantitatively. Three important results ...

The Toda lattice is a solvable nonlinear system which supports soliton solutions. Recently, soliton systems have been proposed for a variety of communication and signal processing applications. In this thesis, a hardware implementation of a soliton-based communication circuit is presented. The circuit comprises soliton signal generation and modulation hardware, where multiple solitons are gener...

Soliton automata are a mathematical model for electronic switching at the molecular level. In the design of soliton circuits, deterministic automata are of primary importance. The underlying graphs of such automata, called soliton grahs, are characterized in terms of generalized trees and graphs having a unique perfect matching. Based on this characterization, a modification of the currently mo...

In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...

The effects of linear and two-photon absorption on bright spatial soliton propagation are studied. A spatial soliton switch that achieves gain through the novel mechanism of colliding, dragging, or trapping of two fundamental solitons of different widths is proposed. Figures of merit for use in evaluating the suitability of absorbing nonlinear media for soliton switching applications are presen...

as an application of hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. we have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear backlund transformations and construction of ...

The complex nonlinear dynamics of mode-locked fibre lasers, including a broad variety of dissipative structures and self-organization effects, have drawn significant research interest. Around the 2 μm band, conventional saturable absorbers (SAs) possess small modulation depth and slow relaxation time and, therefore, are incapable of ensuring complex inter-pulse dynamics and bound-state soliton ...