摘要
利用广义的代数方法,研究了高阶广义(3+1)维Kadomtsov-Petviashivilli方程,得到了许多新的显式解,这些解包括椭圆函数解,双曲函数解,三角函数解等。
By applying the generalized algebraic method, the generalized （3＋1）-dimensional Kadomtsov- Petviashivilli equation was studied. Some new explicit solutions of the generalized （3＋1）-dimensional Kadomtsov-Petviashivilli （KP） equations were obtained, which included Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions, and so on.
出处
《量子电子学报》
CAS
CSCD
北大核心
2013年第4期391-397,共7页
Chinese Journal of Quantum Electronics
基金
supported by National Natural Science Foundation of China and China Academy of Engineering Physics(11076015)
关键词
非线性方程
显式解
广义代数方法
广义KP方程
齐次平衡法
nonlinear equation
explicit solutions
generalized algebraic method
generalized Kadomtsov-Petviashivilli equation
homogeneous balance principle
