Zobrazeno 1 - 10
of 2 614
pro vyhledávání: '"Lakshmanan, M."'
We investigate the dynamics of modulational instability (MI) in $\cal PT$-symmetric fiber Bragg gratings with a phenomenon of intermodulation known as four-wave mixing (FWM). Although the impact of FWM has already been analyzed in the conventional sy
Externí odkaz:
http://arxiv.org/abs/2411.01147
Publikováno v:
Optical Fiber Technology 87 (2024)
We report that conventional saturable periodic structures, in sharp contrast to the conventional systems with different nonlinearities which exhibit the typical S- shaped optical bi- and multi-stable states, reveal some unusual and unique nonlinear d
Externí odkaz:
http://arxiv.org/abs/2408.10249
The influence of Gilbert damping on the propagation of electromagnetic waves (EMWs) in an anisotropic ferromagnetic medium is investigated theoretically. The interaction of the magnetic field component of the electromagnetic wave with the magnetizati
Externí odkaz:
http://arxiv.org/abs/2406.13320
This article develops how to generalize the invariant subspace method for deriving the analytical solutions of the multi-component (N+1)-dimensional coupled nonlinear time-fractional PDEs (NTFPDEs) in the sense of Caputo fractional-order derivative f
Externí odkaz:
http://arxiv.org/abs/2406.10657
Publikováno v:
The European Physical Journal Special Topics 2024
In this article, we systematically explain how to apply the analytical technique called the invariant subspace method to find various types of analytical solutions for a coupled nonlinear time-fractional system of partial differential equations with
Externí odkaz:
http://arxiv.org/abs/2406.10008
Publikováno v:
Commun. Nonlinear Sci. Numer. Simulat. 137(2024) 108123
In this article, we develop a systematic approach of the invariant subspace method combined with variable transformation to find the generalized separable exact solutions of the nonlinear two-component system of time-fractional PDEs (TFPDEs) in (2+1)
Externí odkaz:
http://arxiv.org/abs/2406.09917
In this work, we observe that the $\mathcal{PT}$-symmetric fiber Bragg gratings (PTFBGs) with saturable nonlinearity (SNL) exhibit ramp-like, mixed, optical multistability (OM) in the broken regime. The interplay between nonlinearity and detuning par
Externí odkaz:
http://arxiv.org/abs/2404.13828
In this work, we predict that periodic structures without gain and loss do not exhibit an S-shaped hysteresis curve in the presence of saturable nonlinearity (SNL). Instead, the input-output characteristics of the system admit ramp-like optical bista
Externí odkaz:
http://arxiv.org/abs/2404.13724
We consider a modified damped version of H\'enon-Heiles system and investigate its integrability. By extending the Painlev\'e analysis of ordinary differential equations we find that the modified H\'enon-Heiles system possesses the Painlev\'e propert
Externí odkaz:
http://arxiv.org/abs/2403.08410
Recent studies on reservoir computing essentially involve a high dimensional dynamical system as the reservoir, which transforms and stores the input as a higher dimensional state, for temporal and nontemporal data processing. We demonstrate here a m
Externí odkaz:
http://arxiv.org/abs/2401.09501