One-dimensional optical solitons in cubic–quintic–septimal media with $$\varvec{\mathcal {PT}}$$PT-symmetric potentials
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DOI: 10.1007/s11071-016-3138-x
Abstract: A ($$1+1$$1+1)-dimensional inhomogeneous cubic–quintic–septimal nonlinear Schrödinger equation with $$\mathcal {PT}$$PT-symmetric potentials is studied, and two families of soliton solutions are obtained. From soliton solutions, the amplitude of soliton is independent of the $$\mathcal {PT}$$PT-symmetric potential… read more here.
Keywords: cubic quintic; quintic septimal; dimensional optical; one dimensional ... See more keywords
One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential
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DOI: 10.1007/s11071-019-05240-x
Abstract: Competing nonlinearities, such as the cubic (Kerr) and quintic nonlinear terms whose strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in various physical media (in particular, in optical and matter-wave… read more here.
Keywords: cubic quintic; gap; gap solitons; one dimensional ... See more keywords
Equivalence transformations and differential invariants of a generalized cubic–quintic nonlinear Schrödinger equation with variable coefficients
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DOI: 10.1007/s11071-020-05940-9
Abstract: In this paper, a variable-coefficient cubic–quintic nonlinear Schrodinger equation involving five arbitrary real functions of space and time is analyzed from the point of view of symmetry analysis by using Lie’s invariance infinitesimal criterion. The… read more here.
Keywords: cubic quintic; differential invariants; variable coefficients; equivalence transformations ... See more keywords
Dark-managed solitons in inhomogeneous cubic–quintic–septimal nonlinear media
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DOI: 10.1007/s11071-021-06251-3
Abstract: We investigate the inhomogeneous higher-order nonlinear Schrodinger (INHLS) equation including cubic–quintic–septic (CQS) nonlinear terms and gain or loss with variable coefficients. The exact analytic solution that describes dark soliton-type pulse propagation is found for the… read more here.
Keywords: managed solitons; solitons inhomogeneous; inhomogeneous cubic; dark managed ... See more keywords
Dromion−like structures in a cubic−quintic nonlinear Schrödinger equation using analytical methods
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DOI: 10.1007/s11071-021-06350-1
Abstract: We investigate the dromion-like excitations corresponding to intramolecular chain-like proteins. In the present work, the dromion-like excitations are described by using cubic-quintic nonlinear Schrodinger equation (CQNSE) governing the dynamics of proteins and we analytically analyze… read more here.
Keywords: quintic nonlinear; like structures; cubic quintic; equation ... See more keywords
Necklace beams in media with cubic-quintic nonlinearity
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DOI: 10.1007/s11082-019-2189-x
Abstract: We investigate numerically the stability and evolution of two-dimensional soliton-like structures in the form of necklaces in media with cubic-quintic nonlinearity. Using a variational technique, optimal input propagation parameters for the long-lived stable solutions are… read more here.
Keywords: cubic quintic; necklace beams; media cubic; beams media ... See more keywords
Two-dimensional matter-wave solitons and vortices in competing cubic-quintic nonlinear lattices
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DOI: 10.1007/s11467-017-0697-3
Abstract: The nonlinear lattice — a new and nonlinear class of periodic potentials — was recently introduced to generate various nonlinear localized modes. Several attempts failed to stabilize two-dimensional (2D) solitons against their intrinsic critical collapse… read more here.
Keywords: cubic quintic; matter wave; wave solitons; two dimensional ... See more keywords
The Unified Transform Method to Initial-Boundary Value Problem for a Coupled Cubic–Quintic Nonlinear Schrödinger System
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DOI: 10.1007/s11785-018-0847-9
Abstract: In this study, we consider a coupled cubic–quintic nonlinear Schrödinger (CCQNLS) system, which is an important model in fiber-optic communication since this system can be used to describe the effect of quintic nonlinearities on the… read more here.
Keywords: cubic quintic; quintic nonlinear; system; nonlinear schr ... See more keywords
Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a Cubic–Quintic Ginzburg–Landau Equation Using the Center Manifold Theorem
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DOI: 10.1007/s12591-021-00565-9
Abstract: The differential geometric method of the center manifold theorem is applied to the magnetic-Lorenz model of ferrofluid convection in an electrically non-conducting ferrofluid. The analytically intractable tri-modal nonlinear autonomous system (magnetic-Lorenz model) is reduced to… read more here.
Keywords: landau equation; ginzburg landau; lorenz model; equation ... See more keywords
Bose–Einstein condensation under the cubic–quintic Gross–Pitaevskii equation in radial domains
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DOI: 10.1016/j.aop.2017.11.009
Abstract: Abstract We study stationary and quasi-stationary solutions for the cubic–quintic Gross–Pitaevskii equation modeling Bose–Einstein condensates (BECs) in one, two, and three spatial dimensions under the assumption of radial symmetry with the BEC dynamics influenced by… read more here.
Keywords: pitaevskii equation; cubic quintic; quintic gross; gross pitaevskii ... See more keywords
Soliton solutions of higher order dispersive cubic-quintic nonlinear Schrödinger equation and its applications
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DOI: 10.1016/j.cjph.2019.10.003
Abstract: Abstract The nonlinear dispersive cubic-quintic Schrdinger equation of higher order studies in this paper by employing two analytical schemes. The exp ( − ϕ ( ξ ) ) -expansion and extended simple equation methods are… read more here.
Keywords: cubic quintic; dispersive cubic; higher order; physics ... See more keywords