一类Kadomtsev-Petviashvili和(3+1)维KdV型方程的新行波解  

New travelling wave solutions of a class of Kadomtsev-Petviashvili and(3+1)-Dimensional KdV-Type equations

作　　者：林府标 张千宏 LIN Fu-biao;ZHANG Qian-hong(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数统学院,贵州贵阳550025

出　　处：《东北师大学报（自然科学版）》2021年第2期25-29,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761018;11361012);贵州省科技厅科学技术基金资助项目([2020]1Y008);贵州省教育厅创新群体项目(黔教合KY字[2021]015);贵州省科技计划基金资助项目(黔科合基础[2019]1051).

摘　　要：利用试探函数法找到了Riccati方程8种类型的显式新精确解.采用Riccati方程的新精确解构造了exp(-ψ(ξ))展式法.最后运用Riccati方程的新精确解结合广义Tanh函数法和exp(-ψ(ξ))展式法获得了(2+1)和(3+1)维Kadomtsev-Petviashvili及(3+1)维KdV型方程的新行波解.Firstly,eight type explicit new exact solutions to Riccati equation are found by using the trial function method.Secondly,the exp(-ψ(ξ))expansion method is constructed by new exact solutions to Riccati equation.Finally,the new travelling wave solutions of(2+1),(3+1)-dimensional Kadomtsev-Petviashvili and(3+1)-dimensional KdV-type equations are obtained by use of the new exact solutions of Riccati equation,the extended Tanh function and exp(-ψ(ξ))expansion methods.

关 键 词：Riccati方程 exp(-ψ(ξ))展式法 KADOMTSEV-PETVIASHVILI方程 (3+1)维KdV型方程 行波解 

分 类 号：O175.4[理学—数学]