变系数Boussinesq型方程的Darboux变换及其精确解

Darboux Transformations of a Boussinesq-like Soliton Equation and Its Exact Solutions

变系数Boussinesq型方程在某种约束下与变系数Broer-Kaup-Kupershmidt方程之间的关系,通过构造变系数Broer-Kaup-Kupershmidt方程的Darboux变换并应用Darboux变换得到变系数Boussinesq型方程的孤子解.

The research presents a variable-coefficient Boussinesq-like(vcB) equation.Connection between the vcB equation and a variable-coefficient Broer-Kaup-Kupershmidt(vcBKK) equation is revealed under certain constraints.The Darboux transformation for vcBKK equation is constructed with the help of a gauge transformation.As an application,soliton solutions of the vcB equation are given.