【摘要】 在Wahlquist—Estabrook’s的延拓研究框架内,重新思考经典Sinh—Gordon场论的穿衣对称性,通过三重无限维伪势空间上延拓代数的线性算子实现,我们得到了伪位势的两组穿衣方程,它严格地表述了保持拉克斯联络形式不变的度规变换,与公认的Backlund变换方程不同,穿衣方程没有明显给出延拓代数的任何表示。更多还原

【Abstract】 The dressing symmetry of classical sinh -Gordon field theory is reconsidered in framework of Wahlquist - Estabrook’s prolongation approach. By constructing its linear operator realization of the prolongation algebra in a three -fold infinite -dimensional pseudopotential space,we obtain two sets of dressing equations for pseudopotentials which precisely describe the gauge transformations acting on the Lax connection of the system and preserving its form. Unlike the well known Backlund transformation equations, the dressing equations appear not to provide any representation of the prolongation algebra.更多还原