Resumen de Hetero-Bäcklund Transformation, Bilinear Forms and N Solitons for a Generalized Three-Coupled Korteweg-de Vries System

Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan

• Korteweg-de Vries-type models attract people’s attention during the studies on the cosmic plasmas, planetary oceans and atmospheres. In this paper, on a generalized three-coupled Korteweg-de Vries system, symbolic computation comes to a hetero-Bäcklund transformation, while the Hirota method and symbolic computation bring about some bilinear forms and multi-solutions. Our results are dependent on the coefficients in that system.