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



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Díaz García, Elena and Domínguez-Adame Acosta, Francisco (2016) Lump solitons in a higher-order nonlinear equation in 2 + 1 dimensions. Physical review E, 93 . 062219-1. ISSN 2470-0045

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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.

Item Type:Article
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©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).

Uncontrolled Keywords:Lump solitons; Nonlinear equations
Palabras clave (otros idiomas):
Subjects:Sciences > Physics > Solid state physics
Sciences > Physics > Mathematical physics
Sciences > Physics > Computer programming
Sciences > Physics > Chemistry, Physical and theoretical
Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Differential equations
ID Code:40862
Deposited On:19 Jan 2017 11:31
Last Modified:19 Jan 2017 11:52

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