RT Journal Article
T1 Lump solitons in a higher-order nonlinear equation in 2+1 dimensions
A1 Estévez, P. G.
A1 Díaz García, Elena
A1 Domínguez-Adame Acosta, Francisco
A1 Cerveró, José M.
A1 Díez Alcántara, Eduardo
AB We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Schrodinger equation to 2 + 1 dimensions. This integrable system of equations is a promising starting point to elaborate more accurate models in nonlinear optics and molecular systems within the continuum limit. The Lax pair for the system is derived after applying the singular manifold method. We also present an iterative procedure to construct the solutions from a seed solution. Solutions with one-, two-, and three-lump solitons are thoroughly discussed.
PB American Physical Society
SN 1539-3755
YR 2016
FD 2016-06-20
LK https://hdl.handle.net/20.500.14352/24587
UL https://hdl.handle.net/20.500.14352/24587
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 y León (Project No. SA226U13).
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Junta de Castilla y León
DS Docta Complutense
RD 18 dic 2025