Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05354-2
Abstract: We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results is that one ends up… read more here.
Keywords: dinger equation; nonlinear schr; nonlocal nonlinear; fourth order ... See more keywords
On a class of third-order nonlocal Hamiltonian operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.10.018
Abstract: Abstract Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a… read more here.
Keywords: class; hamiltonian operators; third order; class third ... See more keywords
Geometrically nonlinear vibration analysis of sandwich nanoplates based on higher-order nonlocal strain gradient theory
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2019.03.022
Abstract: Abstract In this paper, a new model for studying the effects of small-scale parameters simultaneously, on large amplitude vibrations of sandwich plates is developed using the higher-order nonlocal strain gradient theory. Considering the higher-order theories… read more here.
Keywords: scale parameters; order; theory; small scale ... See more keywords