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A new integrable differential-difference system and its explicit solutions

Yong-Tang Wu-+ and Xing-Biao Hu++

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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 Bäcklund 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.


PACS

02.30.Ik Integrable systems

02.30.Jr Partial differential equations

02.30.Tb Operator theory

02.30.Sa Functional analysis

MSC

35Q51 Solitons (See also 37K40)

35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments

Subjects

Mathematical physics

Dates

Issue 8 (26 February 1999)

Received 2 April 1998



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