New solutions for the cubic Schrödinger equation and solitonic solutions

Hassan A. Zedan

Chaos, Solitons & Fractals, 2009, vol. 41, issue 2, 550-559

Abstract: In this work, we will consider a nonlinear cubic Schrödinger equation. We make use of both the truncated Painleve expansion and symbolic computation method to obtain an auto-Backlund transformation and certain soliton-typed explicit solutions. Also, it is show that the homogeneous balance method is extended to search for Backlund transformation for the Schrödinger equation.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:2:p:550-559

DOI: 10.1016/j.chaos.2008.02.033

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