Díaz García, ElenaDomínguez-Adame Acosta, Francisco2023-06-182023-06-182016-06-202470-004510.1103/PhysRevE.93.062219https://hdl.handle.net/20.500.14352/23082©2016 American Physical Society. This research was supported in part by FEDER, MINECO (Project No. MAT2013-46308-C2), and Junta de Castilla y Leon (Project No. SA226U13).We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Schr ̈ odinger 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.engjournal articlehttp://dx.doi.org/10.1103/PhysRevE.93.062219http://journals.aps.org/open access538.9517544Lump solitonsNonlinear equationsFísica del estado sólidoFísica matemáticaProgramación de ordenadores (Física)Química física (Física)Análisis matemáticoEcuaciones diferenciales2211 Física del Estado Sólido2210 Química Física1202 Análisis y Análisis Funcional1202.07 Ecuaciones en Diferencias