A reciprocal transformation for the Geng-Xue equation

作者:Li, Nianhua*; Niu, Xiaoxing
来源:Journal of Mathematical Physics, 2014, 55(5): 053505.
DOI:10.1063/1.4874799

摘要

In this paper, we construct a reciprocal transformation for the Geng-Xue equation and show that, with help of this transformation, we relate the first negative flow of the modified Boussinesq hierarchy to the Geng-Xue equation. Furthermore, we analyze the construction of conserved quantities and present new ones.