One-dimensional gap solitons in quintic and cubic–quintic fractional nonlinear Schrödinger equations with a periodically modulated linear potential
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
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
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
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
Coupled propagation of two beams in cubic quintic nonlinear medium
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DOI: 10.1016/j.ijleo.2020.166093
Abstract: Abstract In this paper, coupled propagation of two beams in cubic quintic nonlinear medium has been investigated. We have presented a complete understanding of spatial soliton pair formation, breather pair formation and their existence curves,… read more here.
Keywords: cubic quintic; two beams; beams cubic; coupled propagation ... See more keywords
Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.064212
Abstract: We derive an extended cubic-quintic nonlinear Schrödinger equation with Hamiltonian structure in a nonlinear Klein-Gordon model with cubic-quintic nonlinearity. We use the nonlinear dispersion relation to properly take into account the input of high-order nonlinear effects… read more here.
Keywords: cubic quintic; quintic nonlinear; extended cubic; dinger equation ... See more keywords