|国家预印本平台
首页|(3+1)维Kadomtsev- Petviashvili方程新的精确解

(3+1)维Kadomtsev- Petviashvili方程新的精确解

New exact solutions of (3+1) dimensional Kadomtsev- Petviashvili equations

中文摘要英文摘要

孤立子的高度稳定性和粒子性引起了人们对孤立子的极大兴趣,并且在流体物理、固体物理、等离子体物理和光学实验中频频被发现。很多非线性发展方程都存在孤立子解,为此发展出了很多求解方法,如:反散射法,Darboux变换法,B?cklund变换法,双曲函数法等。本文结合齐次平衡法原理并利用G'/G方法,讨论了(3+1)维Kadomtsev-Petviashvili方 程新的精确解.

High stability and particle properties of solitons have aroused great interest in solitary, and are frequently found in the fluid physics, solid state physics, plasma physics and optical experiment. Many nonlinear evolution equations have soliton solution, so a lot of solving methods, such as: the inverse scattering method, Darboux transformation method, B?cklund transformation method, the hyperbolic function method. Combined with the homogeneous balance method and G'/G method, we discusses the new exact solutions of the (3+1)dimensional Kadomtsev- Petviashvili equations.

刘建国、陈颖

数学物理学

G'/G方法齐次平衡法Kadomtsev-Petviashvili方程精确解

G'/G methodhomogeneous balance methodKadomtsev-Petviashvili equationsexact solutions

刘建国,陈颖.(3+1)维Kadomtsev- Petviashvili方程新的精确解[EB/OL].(2014-07-18)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201407-234.点此复制

评论