Soliton dynamics based on exact solutions of conformable fractional discrete complex cubic Ginzburg–Landau equation
Sign Up to like & getrecommendations! Published in 2020 at "Results in physics"
DOI: 10.1016/j.rinp.2020.103710
Abstract: Abstract The Jacobian elliptic function expansion method is modified by considering conformable fractional derivative and applying a lot of relations among Jacobian elliptic functions. This modified method is applied to derive the discrete fractional soliton… read more here.
Keywords: fractional discrete; discrete complex; conformable fractional; complex cubic ... See more keywords
Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
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DOI: 10.1063/5.0016914
Abstract: In this paper, we consider the Wong–Zakai approximations and random attractors for stochastic discrete complex Ginzburg–Landau equations driven by nonlinear multiplicative noise. We establish the existence of the random attractor for the approximate system. For… read more here.
Keywords: discrete complex; random attractors; zakai approximations; stochastic discrete ... See more keywords
Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg–Landau equations with time-varying delays in the delay
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1437913
Abstract: Abstract A system of stochastic discrete complex Ginzburg–Landau equations with time-varying delays is considered. We first prove the existence and uniqueness of random attractor for these equations. Then, we analyze the convergence properties of the… read more here.
Keywords: complex ginzburg; discrete complex; ginzburg landau; time ... See more keywords