Discrete Spectrum of 2 + 1‐Dimensional Nonlinear Schrödinger Equation and Dynamics of Lumps

Javier Villarroel, Julia Prada and Pilar G. Estévez

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: We consider a natural integrable generalization of nonlinear Schrödinger equation to 2 + 1 dimensions. By studying the associated spectral operator we discover a rich discrete spectrum associated with regular rationally decaying solutions, the lumps, which display interesting nontrivial dynamics and scattering. Particular interest is placed in the dynamical evolution of the associated pulses. For all cases under study we find that the relevant dynamics corresponds to a central configuration of a certain N‐body problem.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2016/8620473

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:8620473

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().