具有新四阶项的非线性微分方程的精确解  

Exact solutions of nonlinear differential equations with new fourth-order terms

作　　者：张丽琴 郑艳红[2] 林冠军[1] ZHANG Liqin;ZHENG Yanhong;LIN Guanjun(College of Mathematics and Compute Science,Quanzhou Normal University,Quanzhou 352000,China;College of Mathematics and Statistics,Fujian Normal University,Fuzhou 350007,China)

机构地区：[1]泉州师范学院数学与计算机科学学院,福建泉州352000 [2]福建师范大学数学与统计学院,福州350007

出　　处：《哈尔滨商业大学学报（自然科学版）》2024年第5期592-597,共6页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金面上项目(多层神经元网络的时空同步及簇节律传递动力学研究No.11672074)。

摘　　要：研究了一类具有新的四阶项D_(x)^(2)D_(T)^(2)非线性偏微分方程的问题,其中三个新的四阶导数项和一些二阶导数项增加了非线性方程求解的困难.构造非线性偏微分方程的Hirota双线性形式,利用Hirota双线性方法得到方程的Lump解.通过绘图分析了它们的动力学行为.A nonlinear PDE combining with a new fourth-order term D_(x)^(2)D_(T)^(2)was studied.Adding three new fourth-order derivative terms and some second-order derivative terms,it increased difficulty in solving.This paper formulated a combined fourth-order nonlinear partial differential equation,which possesses a Hirota s bilinear form.The class of lump solutions were constructed explicitly through the Hirota s bilinear method.The dynamical behaviors were analyzed through plots.

关 键 词：Hirota双线性形式 可积方程 Lump解 符号计算 

分 类 号：O175.29[理学—数学]