Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional nonlinear Schrodinger equation with linear potential Academic Article

abstract

• Exact extended traveling wave and spatiotemporal soliton solutions to the generalized (3+1)-dimensional Schrdinger equation with distributed coefficients and linear potential are found. We obtain solutions for four combinations of the temporal dependence of the coefficients: constant and sinusoidal diffraction coefficients and constant and sinusoidal external electric fields. A number of stable periodic soliton solutions are obtained whose signal does not decrease with time in the absence of an externally induced loss. 2011 The Royal Swedish Academy of Sciences.

authors

• Belic, Milivoj

published proceedings

• PHYSICA SCRIPTA

author list (cited authors)

• Petrovic, N. Z., Zahreddine, H., & Belic, M. R.

citation count

• 7

complete list of authors

• Petrovic, Nikola Z||Zahreddine, Hussein||Belic, Milivoj R

publication date

• June 2011

publisher

• IOP Publishing  Publisher

published in

• Physica Scripta  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1088/0031-8949/83/06/065001

start page

• 065001

end page

• 065001

volume

• 83

issue

• 6

URL

• http://dx.doi.org/10.1088/0031-8949/83/06/065001