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Multisolitons in SRR‐based meta-materials in klein‐gordon lattices
Published in Tanmoy Chakraborty, Prabhat Ranjan, Anand Pandey, Computational Chemistry Methodology in Structural Biology and Materials Sciences, 2017
A. K. Bandyopadhyay, Babusona Sarkar, Santanu Das, Moklesa Laskar, Aniruddha Ghosal
However, in case of defocusing nonlinearity (α = - 1), for non‐zero damping (γ = 0.01) with smaller coupling (λ=0.01) $ (\lambda = 0.01) $ , the waves tend to show a bisolitonic behavior at higher time, as shown in Figure 10.3. For K‐G lattice, at the highest time of our numerical study, it always shows bisolitonic behavior in defocusing nonlinearity. Theses bisolitons may arise due to cross‐phase modulation mechanism and/or vector soliton formation mechanism, which is mainly attributed to corresponding eigenvalues of the equation, as proposed by a number of workers [35,116].
Vector vortex solitons in two-component Bose–Einstein condensates with modulated nonlinearities and a harmonic trap
Published in Journal of Modern Optics, 2018
Si-Liu Xu, Ze-Qiang Wang, Jun-Rong He, Li Xue, Milivoj R. Belić
However, vector pairs seem to be linearly stable when n = 2 in the harmonic trap, within some region of values of μ, as shown in Figure 5(b). It is seen that the growth rates are found to be zero in some existence domains and these vector soliton pairs turn out to be linearly stable. In this case, the most interesting feature is that the exact localized nonlinear vector soliton pairs seem to be stable even for larger topological charges (m = 3), see the right two curves shown in Figure 5(b). This phenomenon is confirmed by direct numerical simulation, see Figure 6(g)–(i). It is shown that the vortex with topological charge m = 3 is always stable, which is very different from the previous works (27, 28, 35) where m = 0, 1 vortices have a stability region, and all vortices with m ≥ 2 are inherently unstable. Similar results are obtained for condensate ψ2. Thus, we have found stable vortex–vortex soliton pairs having larger topological charge m, which may be realized by tuning the trapping potential and spatially modulated interaction.
Effect of Fourier transform on the streaming in quantum lattice gas algorithms
Published in Radiation Effects and Defects in Solids, 2018
Armen Oganesov, George Vahala, Linda Vahala, Min Soe
Finally, we present simulation results for the inelastic 1D Manakov vector soliton collisions (9–11). Here, we have a set of two coupled NLS equations (e.g. representing the two polarization modes for electromagnetic propagation down an optical fiber): with the parameter . This Manakov system is exactly integrable (10). One class of solutions is most interesting since it can not exist for the single polarization, Equation (4) – an inelastic soliton collision. This can only occur for only very specific solution parameters (10). We can recover this inelastic collision using QLG-FFT, as shown in Figures 2 and 3.
Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber
Published in Waves in Random and Complex Media, 2018
has been proposed, where represents the complex envelope amplitude, while and are the scaled spatial and temporal variables, respectively. Existence of the vector solitons has been predicted in a bi-refringence optical fiber through the semiconductor saturable absorber mirror [11–13], and the polarization state of such a vector soliton could either be rotated or locked depending on the cavity parameters [11]. Consequently, a (1+1)-dimensional coupled NLS (CNLS) system,