具有变系数的广义Burgers-KdV方程新精确解(英文)

New explicit exact solutions to a type of generalized Burgers-KdV equations with variant coefficients

利用截断展开法求得了具有变系数的一类广义Burgers-KdV方程的新的精确解.作为特例,分别获得了具有变系数的广义KdV方程和广义柱KdV方程的精确解.由此发现了Burgers方程的一类新的孤子解.

Truncation expansion method is used to obtain new explicit exact solutions to a type of generalized BurgersKdV equations with variant coefficients. As special reduction cases, the exact solutions for the generalized KdV equation and the generalized cylinder KdV equation with variant coefficients are presented respectively; and thereafter a new explicit exact solitary solution for the wellknown Burgers equation is shown, which was not found before.