A comprehensive analysis of Fokas–Lenells equation using Lie symmetry method
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DOI: 10.1002/mma.9892
Abstract: This article extracts analytical solutions of the Fokas–Lenells equation describing pulse propagation in optical fibers and presents a comprehensive analysis of the analytical solutions. This paper focuses on deriving analytical, non‐perturbative solutions for the Fokas–Lenells… read more here.
Keywords: lenells equation; fokas lenells; using lie; lie symmetry ... See more keywords
First integrals and general solution of the Fokas–Lenells equation
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DOI: 10.1016/j.ijleo.2019.163135
Abstract: Abstract We consider the generalized Fokas–Lenells equation which has been become especially popular in recent years for the description soliton solutions in the optical fiber. This equation is studied by us using the traveling wave… read more here.
Keywords: first integrals; lenells equation; general solution; equation ... See more keywords
Dark, singular, bright, rational and periodic solutions of the space–time fractional Fokas–Lenells equation by the Φ6-model expansion method
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DOI: 10.1016/j.ijleo.2020.165843
Abstract: Abstract In this paper, new analytical solutions for the space–time fractional Fokas-Lenells equation with the conformable derivative of order r and s are obtained by the aid of Φ 6 -model expansion method with fractional… read more here.
Keywords: solutions space; fractional fokas; time fractional; space time ... See more keywords
Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions
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DOI: 10.1063/5.0097122
Abstract: We extend the Riemann–Hilbert (RH) method to study the Fokas–Lenells (FL) equation with nonzero boundary conditions at infinity and successfully find its multiple soliton solutions with one high-order pole and N high-order poles. The mathematical… read more here.
Keywords: problem; riemann hilbert; lenells equation; high order ... See more keywords
Modified Fokas–Lenells Equation: Self-Consistent Sources and Soliton Solutions of the Spin and (2+1)-Dimensional Models
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DOI: 10.3390/sym17111961
Abstract: Nonlinear evolution equations play a key role in modeling various physical processes, such as wave propagation in nonlinear optical and hydrodynamic media, as well as in the dynamics of plasma and quantum systems. In this… read more here.
Keywords: equation; self consistent; consistent sources; lenells equation ... See more keywords