Dynamical behavior and exact solution in invariant manifold for a septic derivative nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3468-3
Abstract: In this paper, we consider a pulse dynamics in nonlinear optics (fiber-optic communications) in the presence of both self-steepening and septic nonlinear effects. Propagating profiles of the septic derivative nonlinear Schrödinger model which are isolated… read more here.
Keywords: derivative nonlinear; nonlinear schr; exact solution; dynamical behavior ... See more keywords
Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation
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DOI: 10.1007/s11071-019-05111-5
Abstract: Based on the degenerate Darboux transformation, the n-order smooth positon solutions for the derivative nonlinear Schrodinger equation are generated by means of the general determinant expression of the N-soliton solution, and interesting dynamic behaviors of… read more here.
Keywords: derivative nonlinear; positon; two positon; positon solutions ... See more keywords
Self-similar solutions to the derivative nonlinear Schrödinger equation
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DOI: 10.1016/j.jde.2019.11.089
Abstract: Abstract A class of self-similar solutions to the derivative nonlinear Schrodinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from… read more here.
Keywords: self similar; derivative nonlinear; nonlinear schr; similar solutions ... See more keywords
Finite gap integration of the derivative nonlinear Schrödinger equation: A Riemann–Hilbert method
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DOI: 10.1016/j.physd.2019.132213
Abstract: Abstract In this paper we retrieve finite gap solutions of the Gerdjikov–Ivanov type derivative nonlinear Schrodinger equation by using the algebro-geometric method and the Riemann–Hilbert method. We show that the Baker–Akhiezer function of the derivative… read more here.
Keywords: riemann hilbert; derivative nonlinear; method; equation ... See more keywords
On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation
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DOI: 10.3934/eect.2018013
Abstract: An explicit lifespan estimate is presented for the derivative Schrodinger equations with periodic boundary condition. read more here.
Keywords: derivative nonlinear; solutions periodic; lifespan; strong solutions ... See more keywords
Exact Solutions of Hermitian Symmetric Space Derivative Nonlinear Schrödinger Equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.86.064002
Abstract: A generalized matrix Darboux transformation (MDT) is constructed for the HSS-DNLSEs. Using the MDT, exact expressions of multiple solutions are constructed in the form of quasideterminants formula. By using particular solutions to the associated Lax… read more here.
Keywords: solutions hermitian; symmetric space; derivative nonlinear; space derivative ... See more keywords