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Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations
Stability analysis pitchfork bifurcations of solitary waves generalized nonlinear Schroedinger equations Optics
2012/4/26
Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms o...
Solitary waves and their stability in colloidal media: semi-analytical solutions
colloid solitary wave modulation theory stability bifurcation
2012/4/20
Spatial solitary waves in colloidal suspensions of spherical dielectric nanoparticles are considered. The interaction of the nanoparticles is modelled as a hard-sphere gas, with the Carnahan-Starling ...
Solitary waves and their linear stability in nonlinear lattices
Solitary waves their linear stability nonlinear lattices Pattern Formation and Solitons
2011/8/2
Abstract: Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schr\"odinger equation with a spatially periodic nonlinear coefficient. An asymptotic theory i...
We demonstrate experimentally the existence of three-wave resonant interaction solitary triplets in quadratic media. Stable velocity-locked bright-dark-bright spatial solitary triplets, determined by ...