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
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
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
New exact optical soliton solutions of the derivative nonlinear Schrödinger equation family
Sign Up to like & getrecommendations! Published in 2024 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-024-06822-9
Abstract: In this study, we use a systematic approach named the generalized unified method (GUM) to construct the general exact solutions of the derivative nonlinear Schrödinger (DNLS) family that also includes perturbed terms, which are the… read more here.
Keywords: equation; family; optical soliton; derivative nonlinear ... See more keywords
A General Coupled Derivative Nonlinear Schrödinger System: Darboux Transformation and Soliton Solutions
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1007/s44198-024-00212-1
Abstract: In this work we present a general coupled derivative nonlinear Schrödinger system. We construct the corresponding N-fold Darboux transform and generalized Darboux transform. Under this construction, we give different soliton solutions and plot their figures… read more here.
Keywords: soliton; schr dinger; general coupled; derivative nonlinear ... See more keywords
Self-similar solutions to the derivative nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
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
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
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
Abundant families of Jacobi elliptic function solutions and peculiar dynamical behavior for a generalized derivative nonlinear Schrödinger equation employing extended F-expansion method
Sign Up to like & getrecommendations! Published in 2024 at "Physica Scripta"
DOI: 10.1088/1402-4896/ad9090
Abstract: This study investigates a generalized derivative nonlinear Schrödinger (GDNLS) equation , demonstrating how ultrashort pulses propagate in a single-mode optical fiber. The extended F-expansion method, which is a modification of Kudryashov’s auxiliary equation approach, is… read more here.
Keywords: equation; schr dinger; generalized derivative; derivative nonlinear ... See more keywords
Prolongation structures of the super mixed derivative nonlinear Schrödinger equation
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DOI: 10.1088/1402-4896/adb224
Abstract: In this paper, we investigate the super mixed derivative nonlinear Schrödinger (super MDNLS) equation by means of fermionic prolongation structure approach. Based upon representations of the prolongation algebra, we present the Lax representation and the… read more here.
Keywords: equation; super mixed; derivative nonlinear; nonlinear schr ... See more keywords
A qualitative stability analysis and dynamical solitons of the derivative nonlinear Schrödinger equation
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DOI: 10.1142/s0217732325500658
Abstract: By using both analytical and numerical methods, this paper examines the Kaup–Newell equation, a noteworthy class of derivative nonlinear Schrödinger equation family with several applications in optical fibers. Several interesting soliton solutions, including single, dark,… read more here.
Keywords: equation; schr dinger; physics; derivative nonlinear ... 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