扩展的(3+1)维浅水波方程的新精确解  

New Exact Solutions of the Extended(3+1)-dimensional Shallow Water Wave Equation

作　　者：张宁 张碗婷 荆婷秀 ZHANG Ning;ZHANG Wanting;JING Tingxiu(College of Mathematics and Physics,Xinjiang Agricultural University,Urumqi 830052,China)

机构地区：[1]新疆农业大学数理学院,新疆乌鲁木齐830052

出　　处：《洛阳理工学院学报（自然科学版）》2023年第3期82-86,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：2023年度新疆农业大学大学生创新项目(DXSCX2023490)。

摘　　要：高维非线性偏微分方程在自然科学领域有着重要的应用,研究高维非线性偏微分方程的精确解是非常有价值的工作。利用一个特定的周期函数结合符号计算软件得到了扩展的(3+1)维浅水波方程的新精确解,并选定合适的参数通过三维图和密度图展示了部分解的物理结构和性质。Nonlinear partial differential equations in high dimensions have important applications in natural science,and it is valuable to study the exact solutions of nonlinear partial differential equations in high dimensions.The new exact solutions of the extended(3+1)-dimensional shallow water wave equation are obtained using a specific periodic function combined with symbolic computational software,and the physical structure and properties of some of the solutions are shown by three-dimensional and density plots with selected suitable parameters.

关 键 词：(3+1)维浅水波方程 Hirota双线性形式 精确解 三波法 

分 类 号：O175[理学—数学]