Semirational solutions to the coupled Fokas–Lenells equations
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
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
Sign Up to like & getrecommendations! Published in 2019 at "Optik"
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
Sign Up to like & getrecommendations! Published in 2020 at "Optik"
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