摘要
研究精确求解某些非线性演化偏微分方程的4种φ(ξ)展式法。用这些方法分别获得了七阶SK-Ito方程、五阶KdV方程、三阶KdV方程、三阶Joseph-Egri方程的许多类型的新行波解。这些方法还可用于求解其它一些非线性演化偏微分方程。
Four types φ(ξ) expansion methods for accurately solving nonlinear evolution partial differential equations were investigated in this paper. Many types of new travelling wave solutions to the seventh order SK-Ito equation, the fifth order KdV equation, the third order KdV equation, and the third order Joseph-Egri equation were found by using these φ(ξ) expansion methods.These methods can also be used to solve some other nonlinear evolution partial differential equations.
作者
王骞
林府标
WANG Qian;LIN Fubiao(The Middle School Attached to the Guizhou Normal University,Guiyang,Guizhou 550001,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang,Guizhou 550025,China)
出处
《贵州师范大学学报（自然科学版）》
CAS
2022年第1期85-91,共7页
Journal of Guizhou Normal University：Natural Sciences
基金
贵州省科技计划基金项目(黔科合基础[2019]1051)
贵州省教育厅青年科技人才成长项目(黔教合KY字[2017]150)
2018年度贵州财经大学校级科研基金项目资助(2018XYB04)
贵州财经大学创新探索及学术新苗项目(黔科合平台人才[2017]5736-020)。
关键词
非线性演化方程
φ(ξ)展式法
行波解
nonlinear evolution equation
φ(ξ)expansion method
travelling wave solution
