Non-autonomous ABS lattice equations bilinearization and Casoratians

来源 :2011年度长江三角洲偏微分方程学术研讨会暨长江三角洲偏微分方程博士生论坛 | 被引量 : 0次 | 上传用户:pipijiayoua
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  The study of the non-autonomous discrete equations, such as their various types of solutions, is substantially more difficult than that of the autonomous ones because of the non-autonomous property.In this article, we discuss the bilinearizations of non-autonomous H-series and Q1 model, and construct linear difference equation sets satisfied by generic Casoratian column vectors.Then through solving the linear difference equations, we find the N-soliton solutions in Casoratian form.
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