Discrete Spectrum of 2 + 1-Dimensional Nonlinear Schrödinger Equation and Dynamics of Lumps-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:2016 Page:1-11
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Villarroel Javier¹^ORCID,Prada Julia¹,Estévez Pilar G.²^ORCID

Affiliation:

1. Instituto Universitario de Física y Matemáticas, Facultad de Ciencias, Plaza Merced s/n, 37008 Salamanca, Spain

2. Departamento de Física Fundamental, Universidad de Salamanca, Facultad de Ciencias, Plaza Merced s/n, 37008 Salamanca, Spain

Abstract

We consider a natural integrable generalization of nonlinear Schrödinger equation to2+1dimensions. 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 acentral configurationof a certainN-body problem.

Funder

Spanish Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/8620473.pdf

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