论文信息 - A NEW INTEGRABLE DIFFERENTIAL-DIFFERENCE SYSTEM AND ITS EXPLICIT SOLUTIONS

A NEW INTEGRABLE DIFFERENTIAL-DIFFERENCE SYSTEM AND ITS EXPLICIT SOLUTIONS

A new integrable differential-difference system is proposed. By the dependent variable transformation, the system is transformed into multilinear form. By introducing an auxiliary variable, we further transform it into the bilinear form. Its corresponding Backlund transformation is obtained. Furthermore, nonlinear superposition formulae are presented. As an application of the obtained results, soliton solutions and rational solutions to the system are derived.

Xing-Biao Hu | Yongtang Wu | Yongtang Wu | Xing-Biao Hu

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