1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China ;2. Department of Physics, Ningbo University, Ningbo 315211, China
Abstract:
The special soliton solutions of Bogoyavlenskii coupled KdV equations
are obtained by means of the standard Weiss-Tabor-Carnvale Painlev\'{e}
truncation expansion and the nonstandard truncation of a modified Conte's
invariant Painlev\'{e} expansion.