Observation of nonlinear localized modes in an electrical lattice

Experimental generation of intrinsic localized modes in a discrete electrical transmission line

“…4 (b)-(d), this peak shifts to larger times, indicating that the localized mode is traveling from left to right. The speed of this ILM in these frames is on the order of 0.02 cell/µs, which is about 50 times less than the speed reported for envelope solitons [20].…”

“…Previous studies of discrete electrical transmission lines [17][18][19][20] have focused on traveling solitons generated from a pulse inputted at either end of the transmission line. For single-inductance lattices, the pulse was shown to deform into the characteristic soliton profile as it traveled along the line, and for bi-inductance lattices, envelope solitons were similarly generated.…”

Exact localized solutions of quintic discrete nonlinear Schrödinger equation

“…solid state physics [7], electrical lattices [8] and Bose-Einstein condensates [9]. Recently, the existence of discrete solitons in photonic structures (in arrays of coupled nonlinear optical waveguides [10,11,12,13,14,15,16] and in a nonlinear photonic crystal structure [17]) was announced and has attracted considerable attention in the scientific community.…”

Discrete exact solutions to some nonlinear differential-difference equations via the (G′/G)-expansion method

“…NDDEs, treated as models of some physical phenomena, have become the focus of common concern and played a crucial role in various branches of applied sciences such as biophysics, condensed matter physics and mechanical engineering, and in different physical problems such as atomic chains, currents in electrical networks and molecular crystals [2][3][4][5]. We can also encounter NDDEs in numerical simulation of soliton dynamics in high energy physics.…”