(3+1)维extended Jimbo-Miwa方程的精确解  

Exact Solutions of a(3+1)-dimensional Extended Jimbo-Miwa Equation

作　　者：张树林[1] 刘建根 刘万利 ZHANG Shu-lin;LIU Jiaii-gen;LIU Wan-li(School of Mathematics, Xuzhou Vocational Technology Academy of Finance and Economics, Xuzhou 221008, China;State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, China;Department of Mathematics, Xuzhou University of Technology, Xuzhou 221018, China)

机构地区：[1]江苏省徐州财经高等职业技术学校数学教研室,江苏徐州221008 [2]中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏徐州221116 [3]徐州工程学院数学系,江苏徐州221018

出　　处：《数学的实践与认识》2019年第15期219-224,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(41504032)

摘　　要：应用Hirota双线性方法和新三波测试函数研究了(3+1)维extend JimboMiwa方程,借助Maple计算软件,获得了12组它的精确解.通过选取适当的参数,做出一部分精确解的图形来说明他们的物理特征.In this paper,a new three-wave test function is applied to investigate a(3+1)-dimensional extended Jimbo-Miwa equation with the Hirota bilinear method.As a result,twelve classes of its exact solutions are generated by Maple symbolic computations,whose analyticity can be easily achieved by taking special choices of the involved parameters.Furthermore,figures of some excat solutions are presented to illustrate the mechanical features of these solutions.

关 键 词：(3+1)extended JIMBO-MIWA方程 HIROTA双线性方法 新三波测试函数 精确解 

分 类 号：O175[理学—数学]