利用推广的(G'/G)展开法求解(2+1)维BBM方程

利用推广的(G'/G)展开法,借助于计算机代数系统Mathematica,获得了(2+1)维BBM方程的丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示.     

新型的带自相溶源的变系数KP方程及其它的Grammian解(英文)

New type of variable-coefficient KP equation with self-consistent sources and its Grammian solutions are obtained by using the source generation procedure.     

利用推广的(G′/G)展开法求解(2+1)维BBM方程

利用推广的(G′/G)展开法,借助于计算机代数系统Mathematica,获得了(2+1)维BBM方程的丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示.     

与薛丁谔型谱问题相联系的孤子族的分解

The soliton hierarchy associated with a Schrodinger type spectral problem with four potentials is decomposed into a class of new finite-dimensional Hamiltonian systems by using the nonlinearized approach.It is worth to point that the solutions for the soliton hierarchy are reduced to solving the compatible Hamiltonian systems of ordinary differential equations.     

BBM及(2+1)维BBM方程一些新的显示精确解

利用双曲函数型假设与两个辅助常微分方程相结合及吴代数消元法给出了BBM和(2+1)维BBM方程一些新的精确解孤波解.