Exact solutions for the quintic nonlinear Schrodinger equation with time and space Academic Article

abstract

• 2015, Springer Science+Business Media Dordrecht. Using similarity transformations, the analytical solutions to the quintic nonlinear Schrdinger equation with potentials and nonlinearities depending both on time and space are constructed. The stability of resonance solitons is examined by direct numerical simulation. It is found that stable fundamental soliton states with (Formula presented.) and low-order soliton states with (Formula presented.) can be supported both by self-focusing and self-defocusing materials. Higher-order solitons are found unstable, however, displaying quasi-stable propagation over prolonged distances.

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

• Xu, S., Petrovic, N., Belic, M. R., & Deng, W.

citation count

• 10

complete list of authors

• Xu, Si-Liu||Petrovic, Nikola||Belic, Milivoj R||Deng, Wenwu

publication date

• April 2016

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Nonlinear Optics
• Quintic Nonlinear Schrodinger Equation
• Spatial Solitons

Digital Object Identifier (DOI)

• 10.1007/s11071-015-2426-1

start page

• 251

end page

• 259

volume

• 84

issue

• 1

URL

• http://dx.doi.org/10.1007/s11071-015-2426-1