Triple Wronskian Representation of the Multi-Soliton Solutions for a Coupled GMNLS Equations

Lei Wang

doi:10.4028/www.scientific.net/AMR.860-863.2940

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 860-863Triple Wronskian Representation of the...

Triple Wronskian Representation of the Multi-Soliton Solutions for a Coupled GMNLS Equations

Abstract:

In this paper, we mainly extend the notion of the Wronskian to a coupled GMNLS equations. Based on the N-fold Darboux transformation (DT), we present the triple Wronskian representation of the multi-soliton solutions for the coupled GMNLS equations. Di erent fromthe previous method, the triple Wronskian solutions can be obtained from the N -fold DT without substituting it into the bilinear equation. A signi cant advantage of such method is that it avoids guessing the Wroskian representation and Wronskian condition. Our approach could be applied other soliton equations with 3×3 spectral problems.

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Periodical:

Advanced Materials Research (Volumes 860-863)

Pages:

2940-2945

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.860-863.2940

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Online since:

December 2013

Authors:

Lei Wang

Keywords:

Coupled GMNLS Equations, N-Fold Darboux Transformation, Triple Wronskian

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