Impact of higher-order effects on dissipative soliton in metamaterials

Propagation dynamics of elliptical super-Gaussian bullets in nonlinear metamaterial waveguide

“…The soliton solutions in a nonlinear oppositely directed coupler with optical metamaterials have been obtained adopting the Riccati equation approach [16]. The influence of higher-order linear and nonlinear effects on dissipative soliton in metamaterials has been investigated using Lagrangian variational analysis [17]. The spatiotemporal instability in metamaterials made of the split-ring resonator and array of nanowires embedded in a Kerr medium has been theoretically studied [18].…”

Highly dispersive solitons in polarization-preserving fibers by Adomian decomposition method

“…Multi-soliton solutions of the two-mode KdV equation have been derived using the Backlund transformation and the collision dynamics between the two solitons have been studied [17]. With the aid of the Lagrangian variational method, the stable dynamics of dissipative soliton in metamaterials have been studied [18]. The dynamics and stability of a temporal cavity soliton excited inside a silicon-based microresonator have been investigated by adopting a variational analysis [19].…”

“…The presented results depict the complete interpretation of bright solitons. The error plots show the precision of analytical results with the ADM. Additionally, distinguished numerical methods will be implemented to explore the analytical outcomes like the variational iteration method, finite element method, and finite difference method that are based on the reported results [16][17][18][19][27][28][29][30][31][32].…”