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   Articles with "quadratic cubic" as a keyword



Chirped self-similar waves for quadratic–cubic nonlinear Schrödinger equation

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recommendations! Published in 2017 at "Annals of Physics"

DOI: 10.1016/j.aop.2017.10.007

Abstract: Abstract We have constructed analytical self-similar wave solutions for quadratic–cubic Nonlinear Schrodinger equation (QC-NLSE) by means of similarity transformation method. Then, we have investigated the role of chirping on these self-similar waves as they propagate… read more here.

Keywords: self similar; chirped self; quadratic cubic; similar waves ... See more keywords

Optical soliton perturbation with quadratic-cubic nonlinearity by Riccati-Bernoulli sub-ODE method and Kudryashov's scheme

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recommendations! Published in 2017 at "Optik"

DOI: 10.1016/j.ijleo.2017.07.011

Abstract: Abstract This paper obtains soliton solutions to the perturbed nonlinear Schrodinger's equation with quadratic-cubic nonlinearity. Two integration algorithms are employed. They are Riccati-Bernoulli sub-ODE method and Kudryashov's scheme. This leads to dark, singular and several… read more here.

Keywords: ode method; quadratic cubic; bernoulli sub; riccati bernoulli ... See more keywords
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Exact solitons in optical metamaterials with quadratic-cubic nonlinearity using two integration approaches

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recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2017.11.056

Abstract: The aim of this paper is to present soliton solutions in optical metamaterials. The quadratic-cubic nonlinearity is considered. Two efficient algorithms that are the exp(−Φ(η)) exp − Φ η -expansion method and extended Jacobi's elliptic… read more here.

Keywords: exact solitons; metamaterials quadratic; quadratic cubic; cubic nonlinearity ... See more keywords

Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended Jacobi's elliptic function expansion

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recommendations! Published in 2019 at "Optik"

DOI: 10.1016/j.ijleo.2018.09.154

Abstract: Abstract This paper retrieves dark and singular solitons in birefringent fibers for quadratic-cubic nonlinear optical fibers. These solitons are presented with their respective integrability criteria. read more here.

Keywords: birefringent fibers; quadratic cubic; optical solitons; solitons birefringent ... See more keywords

Highly dispersive optical solitons with quadratic–cubic law by exp-function

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recommendations! Published in 2019 at "Optik"

DOI: 10.1016/j.ijleo.2019.04.058

Abstract: Abstract This paper studies highly dispersive optical solitons by the application of exponential function. The model is with quadratic–cubic nonlinear fibers. The algorithm reveals singular and bright–singular combo soliton solutions. The integrability criteria are also… read more here.

Keywords: highly dispersive; quadratic cubic; solitons quadratic; optical solitons ... See more keywords
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Optical solitons in nonlinear negative-index materials with quadratic-cubic nonlinearity

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recommendations! Published in 2017 at "Superlattices and Microstructures"

DOI: 10.1016/j.spmi.2017.05.016

Abstract: Abstract This paper obtains bright and singular optical soliton solutions in nonlinear negative-index materials that appears with quadratic-cubic nonlinearity. The applied integration algorithm is the extended trial equation. Additional waves such as plane waves, periodic… read more here.

Keywords: quadratic cubic; negative index; index materials; cubic nonlinearity ... See more keywords
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Accurate sets of solitary solutions for the quadratic–cubic fractional nonlinear Schrödinger equation

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recommendations! Published in 2021 at "AIP Advances"

DOI: 10.1063/5.0050624

Abstract: The analytical and semi-analytical solutions to the quadratic–cubic fractional nonlinear Schrodinger equation are discussed in this research article. The model’s fractional formula is transformed into an integer-order model by using a new fractional operator. The… read more here.

Keywords: solutions quadratic; quadratic cubic; accurate sets; fractional nonlinear ... See more keywords

Blow-up scenario for a generalized Camassa–Holm equation with both quadratic and cubic nonlinearity

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1636970

Abstract: ABSTRACT In this paper, we mainly devote to study an integrable generalized Camassa–Holm equation with both quadratic and cubic nonlinearity proposed by Xia, Qiao and Li [An integrable system with peakon, complex peakon, weak kink,… read more here.

Keywords: equation quadratic; camassa holm; quadratic cubic; blow ... See more keywords

Optical soliton solutions of the nonlinear complex Ginzburg-Landau equation with the generalized quadratic-cubic law nonlinearity having the chromatic dispersion

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad6c93

Abstract: In this study, we consider the complex Ginzburg-Landau equation with the generalized quadratic-cubic law of self-phase modulation. This model finds applications in various fields, such as the study of superconductivity, nonlinear optical phenomena, pattern formation,… read more here.

Keywords: complex ginzburg; generalized quadratic; quadratic cubic; ginzburg landau ... See more keywords

Modulation instability and frequency-comb generation in hybrid quadratic-cubic resonators with spectral filter

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recommendations! Published in 2025 at "Physical Review A"

DOI: 10.1103/3byt-r77p

Abstract: We present an analytical and numerical investigation into the phenomenon of filter-induced modulation instability in passive hybrid optical resonators exhibiting quadratic and cubic nonlinearity. We show that asymmetric spectral losses, with respect to the continuous-wave… read more here.

Keywords: filter; modulation instability; quadratic cubic; frequency ... See more keywords

Possible instabilities in quadratic and cubic nodal-line fermion systems with correlated interactions

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recommendations! Published in 2020 at "Physical Review B"

DOI: 10.1103/physrevb.102.085132

Abstract: Influence of short-range four-fermion interactions on quadratic and cubic nodal-line fermion systems is studied by renormalization group theory. It is found that arbitrarily weak four-fermion interaction could drive quadratic or cubic nodal-line fermion system to… read more here.

Keywords: line fermion; quadratic cubic; nodal line; fermion ... See more keywords