广义TD族及一些非线性演化方程的显式解

摘要

With the help of the Darboux transformation and the decomposition, some explicit solutions of the generalized TD hierarchies and some (2+1)-dimensional or (1+1)-dimensional nonlinear evolution equations, including the Kadometsev-Petviashvili (KP) equation, such as soliton solutions, are obtained.%借助于Darboux交换和分解,获得了广义TD族和一些(2+1)维或(1+1)维非线性演化方程的显式解(包括孤产子解),特别得到了KP方程的新解.