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
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
Generalized Darboux transformations, semirational rogue waves, and modulation instability for the three-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous multicomponent optical fiber
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DOI: 10.1142/s0217984921500202
Abstract: Nonlinear optics plays a crucial part in the progress of laser-based technologies and optical science. In this paper, we investigate the three-coupled variable-coefficient nonlinear Schrodinger sys... read more here.
Keywords: variable coefficient; coefficient nonlinear; generalized darboux; three coupled ... See more keywords
Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities
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DOI: 10.3390/sym9010003
Abstract: Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of… read more here.
Keywords: reduction; reduction operators; coefficient nonlinear; nonlinear wave ... See more keywords