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
Semirational solutions to the coupled Fokas–Lenells equations
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DOI: 10.1007/s11071-018-4552-z
Abstract: The Darboux transformation for the coupled Fokas–Lenells equations and the special vector solution of the corresponding Lax pair are constructed. Utilizing a limiting process, some novel high-order semirational solutions of the coupled system are given.… read more here.
Keywords: lenells equations; order; coupled fokas; solutions coupled ... 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
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
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
Interaction wave solutions of the (2+1)-dimensional Fokas-Lenells equation
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DOI: 10.1088/1402-4896/adbb2d
Abstract: In this paper, we investigate the interaction wave solutions of the (2+1)-dimensional Fokas-Lenells equation. These localized wave solutions contain solitons, degenerate solitons, lumps and lump chains. We focus on mixed solutions including solitons and degenerate… read more here.
Keywords: solutions dimensional; wave solutions; interaction wave; fokas lenells ... See more keywords
Bright–dark envelope-optical solitons in space-time reverse generalized Fokas–Lenells equation: Modulated wave gain
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DOI: 10.1142/s0217984924503779
Abstract: Here, we investigate the impact of space-time reverse (STR) problems, a result of parity-time symmetry in optics and quantum mechanics, on soliton propagation in optical fibers. The STR problems are characterized by the existence of… read more here.
Keywords: field; generalized fokas; time reverse; time ... 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