A coupled system known as tie Drinfel'd-Sokolov-Wilson equation is reexamined.With the help of a Lax operator of fourth order,its proper Darboux transformation is constructed.Also,a nonlinear superposition formula...A coupled system known as tie Drinfel'd-Sokolov-Wilson equation is reexamined.With the help of a Lax operator of fourth order,its proper Darboux transformation is constructed.Also,a nonlinear superposition formula is worked out for the associated Backlund transformation and some solutions are calculated.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.11271366,11331008 and 11401572the Fundamental Research Funds for Central Universities
文摘A coupled system known as tie Drinfel'd-Sokolov-Wilson equation is reexamined.With the help of a Lax operator of fourth order,its proper Darboux transformation is constructed.Also,a nonlinear superposition formula is worked out for the associated Backlund transformation and some solutions are calculated.