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Lump solitons in a higher-order nonlinear equation in 2+1 dimensions

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Estévez, P. G. and Díaz García, Elena and Domínguez-Adame Acosta, Francisco and Cerveró, José M. and Díez, E. (2016) Lump solitons in a higher-order nonlinear equation in 2+1 dimensions. Physical review E, 93 (6). 062219_1-062219_8. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.93.062219


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Abstract

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.


Item Type:Article
Additional Information:

©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).

Uncontrolled Keywords:Schrodinger-equation; Discreteness
Subjects:Sciences > Physics > Materials
ID Code:38920
Deposited On:26 Aug 2016 09:06
Last Modified:26 Aug 2016 10:23

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