2026-06-27T12:27:26Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/230822023-08-25T14:03:22Zcom_20.500.14352_14col_20.500.14352_15

Díaz García, Elena Domínguez-Adame Acosta, Francisco 2023-06-18T05:41:57Z 2023-06-18T05:41:57Z 2016-06-20 2470-0045 10.1103/PhysRevE.93.062219 https://hdl.handle.net/20.500.14352/23082 http://dx.doi.org/10.1103/PhysRevE.93.062219 http://journals.aps.org/ 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. eng open access Lump solitons in a higher-order nonlinear equation in 2 + 1 dimensions journal article