RT Journal Article
T1 Lump solitons in a higher-order nonlinear equation in 2 + 1 dimensions
A1 Díaz García, Elena
A1 Domínguez-Adame Acosta, Francisco
AB We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Schr ̈ odingerequation to 2 + 1 dimensions. This integrable system of equations is a promising starting point to elaborate moreaccurate models in nonlinear optics and molecular systems within the continuum limit. The Lax pair for the systemis derived after applying the singular manifold method. We also present an iterative procedure to construct thesolutions from a seed solution. Solutions with one-, two-, and three-lump solitons are thoroughly discussed.
PB American Physical Society
SN 2470-0045
YR 2016
FD 2016-06-20
LK https://hdl.handle.net/20.500.14352/23082
UL https://hdl.handle.net/20.500.14352/23082
LA eng
NO ©2016 American Physical Society.This research was supported in part by FEDER, MINECO(Project No. MAT2013-46308-C2), and Junta de Castilla yLeon (Project No. SA226U13).
NO Ministerio de Economía y Competitividad (MINECO)
NO Junta de Castilla y León
DS Docta Complutense
RD 8 jun 2025