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Propagation of ultrashort pulses at least a few tens of optical cycles in duration through a negative index material is investigated theoretically based on the generalized nonlinear Schr\"{o}dinger equation with pseudo-quintic nonlinearity…

Pattern Formation and Solitons · Physics 2021-09-22 Houria Triki , Vladimir I. Kruglov

We study the dynamics of femtosecond light pulse propagation in a cubic-quintic medium exhibiting dispersive effect up to the fourth order as well as self-frequency shift and self-steepening nonlinearity. A rich variety of periodic and…

Pattern Formation and Solitons · Physics 2022-10-19 Vladimir I. Kruglov , Houria Triki

We study the propagation of femtosecond light pulses inside an optical fiber medium exhibiting higher-order dispersion and cubic-quintic nonlinearities. Pulse evolution in such system is governed by a higher-order nonlinear Schr%…

Pattern Formation and Solitons · Physics 2022-11-09 Houria Triki , Vladimir I. Kruglov

We investigate the existence and stability properties of the chirped gray and anti-dark solitary waves within the framework of coupled cubic nonlinear Helmholtz equation in the presence of self steepening and self frequency shift. We show…

Pattern Formation and Solitons · Physics 2021-11-24 Naresh Saha , Barnana Roy , Avinash Khare

We study the propagation of electromagnetic waves in one-dimensional chirped periodic structures composed of alternating layers of negative-index (or left-handed) metamaterial and conventional dielectric, under the condition of the zero…

Optics · Physics 2009-11-13 A. R. Davoyan , A. A. Sukhorukov , I. V. Shadrivov , Yu. S. Kivshar

Exact chirped elliptic wave solutions are obtained within the framework of coupled cubic nonlinear Helmholtz equations in the presence of non-Kerr nonlinearity like self steepening and self frequency shift. It is shown that, for a…

Pattern Formation and Solitons · Physics 2022-05-18 Naresh Saha , Barnana Roy , Avinash Khare

In this article, we explore the beam dynamics within symmetrically chirped nonlinear waveguide arrays, focusing on linear and quadratic chirping schemes. We propose a practical structure for these arrays that enhances control over light…

Optics · Physics 2025-10-20 Anuj P. Lara , Samudra Roy

We study the formation and propagation of chirped elliptic and solitary waves in cubic-quintic nonlinear Helmholtz (CQNLH) equation. This system describes nonparaxial pulse propagation in a planar waveguide with Kerr-like and quintic…

Pattern Formation and Solitons · Physics 2019-06-27 K. Tamilselvan , T. Kanna , A. Govindarajan

The nonlinear dynamics of a warped accretion disc is investigated in the important case of a thin Keplerian disc with negligible viscosity and self-gravity. A one-dimensional evolutionary equation is formally derived that describes the…

Astrophysics · Physics 2009-11-11 G. I. Ogilvie

Propagation characteristics of the chirped dissipative solitary waves are investigated within the framework of higher order complex cubic quintic Ginzburg Landau equation. Potentially rich set of exact chirped dissipative pulses, such as,…

Pattern Formation and Solitons · Physics 2023-04-05 Naresh Saha , Baranana Roy , Avinash Khare

Wave dynamics in topological materials has been widely studied recently. A striking feature is the existence of robust and chiral wave propagations that have potential applications in many fields. A common way to realize such wave patterns…

Mathematical Physics · Physics 2019-09-26 Pipi Hu , Liu Hong , Yi Zhu

We show the existence of nonlinear resonant states in a higher-order nonlinear Schr\"odinger model that appertains to the wave propagation in femtosecond fiber optics, under certain parametric regime. These nonlinear resonant states are…

Pattern Formation and Solitons · Physics 2020-12-30 Shailza Pathania , Amit Goyal , Thokala Soloman Raju , C. N. Kumar

Since the early works[1-4] on the so-called nondiffracting waves (called also Localized Waves), a great deal of results has been published on this important subject, from both the theoretical and the experimental point of view. Initially,…

General Physics · Physics 2010-01-31 Michel Zamboni-Rached , Erasmo Recami , Hugo E. Hernandez-Figueroa

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

We investigate beam diffraction and spatial modulation instability of coherent light beams propagating in the non-paraxial regime in a nonlinear Kerr medium. We study the instability of plane wave solutions in terms of the degree of…

Optics · Physics 2014-02-07 Nicola Bulso , Claudio Conti

We study one-dimensional optical wave turbulence described by the 1D Schr{\"o}dinger-Helmholtz model for nonlinear light propagation in spatially nonlocal nonlinear optical media such as nematic liquid crystals. By exploiting the specific…

Optics · Physics 2024-12-19 Clément Colléaux , Jonathan Skipp , Jason Laurie , Sergey Nazarenko

The propagation of nonlinear waves in one dimensional space, unsteady and compressible flow in Darcy-type porous media is analyzed. It is assumed that the weak discontinuity propagate long the characteristic path using the characteristics…

Fluid Dynamics · Physics 2019-07-24 Mithilesh Singh

We study the propagation of few-cycle optical solitary waves in a nonlinear media under the combined action of quadratic, cubic and quintic nonlinearities in a large phase-mismatched second harmonic (SHG) process. Exact bright and dark…

Optics · Physics 2014-01-16 Kanchan Kumar De , Amit Goyal , C. N. Kumar , Amarendra K. Sarma

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the…

Pattern Formation and Solitons · Physics 2009-11-10 Wieslaw Krolikowski , Ole Bang , John Wyller

Chirp can control the dynamics of the Airy pulse, making it an essential factor in pulse manipulation. Finite energy chirped Airy pulse (FECAP) has potential applications in underwater optical communication and imaging. Hence, it's critical…

Optics · Physics 2021-10-26 Ankit Purohit , Deependra Singh Gaur , Akhilesh Kumar Mishra
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