Localized nonlinear wavepackets with radial-azimuthal modulated nonlinearity and an external potential Academic Article

abstract

• We analytically investigated two-dimensional localized nonlinear waves in Kerr media with radial and azimuthal modulation of the nonlinearity and in the presence of an external potential. The solutions have been derived through the similarity transformation. We demonstrate that the properties of nonlinear waves are determined by two parameters: a whole number n (the index of the Jacobi elliptical waves) and an integer m (the topological charge). Our results indicate that the dynamic evolution, including cnoidal and snoidal waves, can be strongly affected by these two parameters, providing an approach to controlling nonlinear waves by an appropriate radial-azimuthal modulation of the nonlinearity, with an appropriate external potential. 2011 The Royal Swedish Academy of Sciences.

authors

• Belic, Milivoj

published proceedings

• PHYSICA SCRIPTA

author list (cited authors)

• Zhong, W., Belic, M. R., & Assanto, G.

citation count

• 6

complete list of authors

• Zhong, Wei-Ping||Belic, Milivoj R||Assanto, Gaetano

publication date

• November 2011

publisher

• IOP Publishing  Publisher

published in

• Physica Scripta  Journal

keywords

• 51 Physical Sciences
• 5108 Quantum Physics

Digital Object Identifier (DOI)

• 10.1088/0031-8949/84/05/055001

start page

• 055001

end page

• 055001

volume

• 84

issue

• 5

URL

• http://dx.doi.org/10.1088/0031-8949/84/05/055001