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   Articles with "hirota equation" as a keyword



Darboux transformation and nonautonomous solitons for a generalized inhomogeneous Hirota equation

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recommendations! Published in 2017 at "Indian Journal of Physics"

DOI: 10.1007/s12648-016-0903-0

Abstract: In this paper, a generalized inhomogeneous Hirota equation with spatial inhomogeneity and nonlocal nonlinearity is investigated in detail. Firstly, the Darboux transformation is constructed based on corresponding nonisospectral linear eigenvalue problem. This transformation has an… read more here.

Keywords: generalized inhomogeneous; hirota equation; transformation; darboux transformation ... See more keywords
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On deformations of the dispersionless Hirota equation

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recommendations! Published in 2018 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.01.022

Abstract: Abstract The class of hyper-CR Einstein–Weyl structures on R 3 can be described in terms of the solutions to the dispersionless Hirota equation. In the present paper we show that simple geometric constructions on the… read more here.

Keywords: hirota equation; deformations dispersionless; dispersionless hirota; geometry ... See more keywords
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New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

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recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2018.06.111

Abstract: Abstract In this article, an amelioration of the approaches namely the new extended direct algebraic method for solving the nonlinear conformable fractional Schrodinger-Hirota equation (FSHE) is presented. By using the traveling wave transformation change the… read more here.

Keywords: hirota equation; new optical; optical solitons; conformable fractional ... See more keywords
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Do N-soliton breathers exist for the Hirota equation models?

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recommendations! Published in 2018 at "Optik"

DOI: 10.1016/j.ijleo.2018.08.005

Abstract: Abstract We reveal the method for systematic construction of unexpected bound soliton states (localized breathers on the zero background) and formulate specific conditions for their appearance both in the framework of the canonical and the… read more here.

Keywords: exist hirota; hirota equation; soliton breathers; equation models ... See more keywords

On complex wave solutions depicted by the variable coefficients coupled Hirota equation

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recommendations! Published in 2021 at "Optik"

DOI: 10.1016/j.ijleo.2021.167123

Abstract: Abstract In this paper, the variable coefficients coupled Hirota equation is investigated by virtue of the unified method. Playing an important role in optics, the coupled Hirota equation describes the transmission process when high intensity… read more here.

Keywords: coefficients coupled; wave solutions; coupled hirota; variable coefficients ... See more keywords

Wigner instability analysis of the damped Hirota equation

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recommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"

DOI: 10.1016/j.physd.2020.132587

Abstract: Abstract We address the modulation instability of the Hirota equation in the presence of stochastic spatial incoherence and linear time-dependent amplification/attenuation processes via the Wigner function approach. We show that the modulation instability remains baseband… read more here.

Keywords: instability; wigner; order; modulation instability ... See more keywords
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Studies on interactions between bound solitons in the Hirota equation

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recommendations! Published in 2017 at "Superlattices and Microstructures"

DOI: 10.1016/j.spmi.2016.11.061

Abstract: Abstract Under investigation in this paper is the Hirota equation, which describes pulse propagation in optical fibers with higher-order effects. Three different types of soliton interactions are investigated in detail, the formulas for the corresponding… read more here.

Keywords: solitons hirota; interactions bound; hirota equation; studies interactions ... See more keywords

A data-driven adaptive deep learning method for Nonlinear Schrödinger type equation

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recommendations! Published in 2025 at "Chinese Physics Letters"

DOI: 10.1088/0256-307x/42/12/120001

Abstract: This paper develops a residual-based adaptive refinement physics-informed neural networks (RAR-PINNs) method for solving the Gross–Pitaevskii (GP) equation and Hirota equation, two paradigmatic nonlinear partial differential equations (PDEs) governing quantum condensates and optical rogue waves,… read more here.

Keywords: equation; method; driven adaptive; data driven ... See more keywords

Darboux transformation and soliton solutions of a nonlocal Hirota equation

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recommendations! Published in 2021 at "Chinese Physics B"

DOI: 10.1088/1674-1056/ac11e9

Abstract: Starting from local coupled Hirota equations, we provide a reverse space-time nonlocal Hirota equation by the symmetry reduction method known as AKNS scattering problem. The Lax integrability of the nonlocal Hirota equation is guaranteed also… read more here.

Keywords: darboux transformation; equation; hirota equation; nonlocal hirota ... See more keywords

Optical solitons in cubic–quartic form within birefringent fibers through the Schrödinger–Hirota equation addressing cubic–quintic nonlinearity

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recommendations! Published in 2024 at "Modern Physics Letters B"

DOI: 10.1142/s0217984925500745

Abstract: In this paper, we study the Schrödinger–Hirota equation in birefringent fibers incorporating cubic–quartic dispersion. The model studied comes with a cubic–quintic nonlinear structure. The governing model introduced in this study is novel and original, and… read more here.

Keywords: cubic quartic; schr dinger; birefringent fibers; hirota equation ... See more keywords

Variational principle, Hamiltonian, Sensitivity analysis and new soliton solutions for the nonlinear fractional Schrodinger-Hirota equation

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recommendations! Published in 2025 at "Fractals"

DOI: 10.1142/s0218348x26500027

Abstract: The nonlinear fractional Schrödinger-Hirota equation is an important model in the field of physics, which is used to elaborate the propagation of optical solitons in optical fibers. In this presented work, the variational principle of… read more here.

Keywords: equation; nonlinear fractional; hirota equation; sensitivity analysis ... See more keywords