Nonlocal Lie-Bäcklund Symmetries and Olver Symmetries of the
KdV Equation
LOU Senyue1,2,3, HU Xingbiao1,4
1CCAST(World Laboratory), P. 0. Box 8730, Beijing 100080
2Department of Physics, Ningbo Normal College, Ningbo 315211 (mailing address)
3Institute of Theoretical Physics, Academia Sinica, Beijing 100080
4Computing Center of Academia Sinica, Beijing 100080
Nonlocal Lie-Bäcklund Symmetries and Olver Symmetries of the
KdV Equation
LOU Senyue1,2,3;HU Xingbiao1,4
1CCAST(World Laboratory), P. 0. Box 8730, Beijing 100080
2Department of Physics, Ningbo Normal College, Ningbo 315211 (mailing address)
3Institute of Theoretical Physics, Academia Sinica, Beijing 100080
4Computing Center of Academia Sinica, Beijing 100080
Abstract： Starting from a special nonlocal Lie Bäcklund symmetry of the KdV, mKdV. Potential mKdV and singularity manifold equation system, three sets of higher order nonlocal Olver symmetries are reobtained. The soliton solutions of these models can also be obtained from the finite Lie- Bäcklund transformations.
1993, Vol. 10 
