Darboux transformation and nonautonomous solitons for a generalized inhomogeneous Hirota equation
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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
On deformations of the dispersionless Hirota equation
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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
New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation
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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
Do N-soliton breathers exist for the Hirota equation models?
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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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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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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
Studies on interactions between bound solitons in the Hirota equation
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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
Darboux transformation and soliton solutions of a nonlocal Hirota equation
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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