Stabilization of a one-dimensional wave equation with variable coefficient under non-collocated control and delayed observation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4654
Abstract: In this paper, we consider stabilization of a 1-dimensional wave equation with variable coefficient where non-collocated boundary observation suffers from an arbitrary time delay. Since input and output are non-collocated with each other, it is… read more here.
Keywords: equation variable; observation; non collocated; equation ... See more keywords
Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrödinger equation with partial nonlocality
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3316-x
Abstract: Hierarchies of Peregrine solution and breather solution are derived in a (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation with partial nonlocality. Based on these solutions, we study the control of the excitation of Peregrine solution and breather… read more here.
Keywords: nonlinear schr; coefficient nonlinear; solution; peregrine solution ... See more keywords
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.10.022
Abstract: Abstract We analyze finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. It is known that the corresponding bilinear form may lose coercivity due to the variable diffusivity coefficient. We prove… read more here.
Keywords: finite element; space; approximations variable; element approximations ... See more keywords
N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103598
Abstract: Abstract The present article deals with M -lump solution and N -soliton solution of the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent… read more here.
Keywords: caudrey dodd; coefficient caudrey; localized waves; dimensional variable ... See more keywords
Optimal Structure Design and Performance Tests of Seed metering Device with Fluted Rollers for Precision Wheat Seeding Machine
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.08.158
Abstract: Abstract In view of drawbacks of the seed metering device with fluted roller, which is widely applied in wheat drill seeding, we provided an optimized design of structure based on basic structures of traditional devices,… read more here.
Keywords: seed; metering device; performance; seed metering ... See more keywords
Black and gray soliton interactions and cascade compression in the variable coefficient nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2018 at "Optik"
DOI: 10.1016/j.ijleo.2018.01.082
Abstract: Abstract We present the theoretical study of dark soliton dynamics in inhomogeneous fiber system by means of a variable coefficient nonlinear Schrodinger equation (Vc-NLSE). The dark soliton interaction in the dispersion-managed system with gain/loss and… read more here.
Keywords: cascade compression; coefficient nonlinear; soliton; dark soliton ... See more keywords
Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.001
Abstract: Abstract This paper is concerned with the uniform energy decay rates of a structural acoustic model which describes the interactions between the acoustic medium and the elastic structural in an acoustic chamber where one “wall”… read more here.
Keywords: acoustic model; delay effects; structural acoustic; coefficient structural ... See more keywords
Periodic, complexiton solutions and stability for a (2+1)-dimensional variable-coefficient Gross-Pitaevskii equation in the Bose-Einstein condensation
Sign Up to like & getrecommendations! Published in 2018 at "Physica B: Condensed Matter"
DOI: 10.1016/j.physb.2018.03.042
Abstract: Abstract This paper presents an investigation of a (2 + 1)-dimensional variable-coefficient Gross-Pitaevskii equation in the Bose-Einstein condensation. Periodic and complexiton solutions are obtained. Solitons solutions are also gotten through the periodic solutions. Numerical solutions via the… read more here.
Keywords: pitaevskii equation; coefficient gross; equation bose; dimensional variable ... See more keywords
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2020.1819601
Abstract: Starting from the Lax pairs, the nonlocal symmetries of the coupled variable-coefficient Newell-Whitehead system are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are localized to Lie point symmetries and the coupled… read more here.
Keywords: newell whitehead; system; coupled variable; coefficient newell ... See more keywords
Breathers and rogue waves for an eighth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber
Sign Up to like & getrecommendations! Published in 2017 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2016.1275879
Abstract: An eighth-order variable-coefficient nonlinear Schrödinger equation in an ocean or optical fiber is investigated in this paper. Through the Darboux transformation (DT) and the generalized DT, we obtain the breather and rogue wave solutions. Choosing… read more here.
Keywords: rogue waves; order; eighth order; order variable ... See more keywords
Excitation regulation for combined MA breathers of a variable-coefficient (3+1)-dimensional coupled partially nonlocal nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Physica Scripta"
DOI: 10.1088/1402-4896/ab34ea
Abstract: We analyze the (3+1)-dimensional constant-coefficient and variable-coefficient quintic-septimal nonlinear Schr\"{o}dinger equations with dispersion/diffraction and parity-time symmetric potentials, and find exact Gaussian-type soliton solutions corresponding to two kinds of Gaussian-type parity-time symmetric potentials. From solutions of… read more here.
Keywords: variable coefficient; schr dinger; nonlinear schr; equation ... See more keywords