组合KdV与MKdV方程Backlund变换及其一类精确解

Backlund transformation on combined KdV and MKdV equations and some exact solutions

利用齐次平衡法得到了组合 Kd V和 MKd V方程的 Backlund变换 ,不仅扩充了有关文献的求解结果 ,并且给出了求组合 Kd V与 MKd V方程解的一般方法 ,并由此得到了一类精确解 .通过对方程的特殊化 ,还可得到 MKd V方程的

This paper gives Backlund transformation of combined KdV and MKdV equations by homogenous balance method. This method not only provides more solutions than some related references did, but also offers a generalized method for solving combined KdV and MKdV equations, further shows a sort of exact solutions by means of specialization of MKdV equation.