利用假设孤立波方法,研究了广义变系数五阶KdV方程和BBM方程,得到了广义变系数五阶KdV方程和BBM方程的孤立子解。对于得到的孤立子解,为了保证解的存在性,给出了孤立子解存在的条件。
The wave soliton ansatz was performed for both the generalized fifth-order KdV and BBM equations. The soliton solutions for both the generalized fifth-order KdV and BBM equations were given For the soliton solutions, to guarantee the existence of the above soliton solutions, the conditions of existence of soliton solutions were presented