With the aid of a gauge transformation,we propose a Darboux transformation for a four-component KdV equation.As an application,we obtain some explicit solutions for the four-component KdV equation.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11401572,11401230,and 11505064Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University under Grant No.ZQN-PY301
文摘With the aid of a gauge transformation,we propose a Darboux transformation for a four-component KdV equation.As an application,we obtain some explicit solutions for the four-component KdV equation.