Darboux Transformations via Lie Point Symmetries: KdV Equation
LI Yu-Qi1,2, CHEN Jun-Chao1, CHEN Yong1, LOU Sen-Yue1,2**
1Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 2Department of Physics, Ningbo University, Ningbo 315211
Abstract：By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-B?cklund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.
2014, Vol. 31 
