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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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Official URL: http://dx.doi.org/10.1103/PhysRevE.93.062219
Abstract
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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Additional Information: | ©2016 American Physical Society. |
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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