2011•Journal of Liaoning University of TechnologyRequires access

N-fold Darboux Transformation of Soliton Equation and Its Soliton Solutions

Han Bing-bing

Abstract

Soliton equation in the natural science research plays a very important part.The Darboux transformation of the soliton theory is the important burning topic.Solving soliton equation is of much importance in application and research.Based on a gauge transformation of a spectral problem,using Darboux transformation method,a N-fold Darboux transformation with multi-parameters for a soliton equation was established.Furthermore,the soliton solutions of the equation were found and consequently N=1 and N=2,these two cases were also discussed.

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Key concepts: Soliton, Transformation (genetics), Mathematical physics, Gauge theory, Darboux integral, Mathematics, Physics, Quantum mechanics