(2+1)维Hirota-Maccari方程的新精确解  

New exact solutions of(2+1)Hirota-Maccari equation

作　　者：肖思宇 孙峪怀 XIAO Siyu;SUN Yuhuai(School of Mathematical Sciences,Sichuan Normal University,Chengdu,Sichuan 610066,China)

机构地区：[1]四川师范大学数学科学学院,四川成都610066

出　　处：《内江师范学院学报》2024年第10期41-46,共6页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(12071323)。

摘　　要：对(2+1)维Hirota-Maccari方程的解进行了构建和研究.通过行波变换,将(2+1)维Hirota-Maccari方程转化为常微分方程,然后通过平衡最高阶导数项和非线性项确定解的表达式,再利用F-展开法构造出一系列带参数的精确解,这些解包括三角函数解、双曲函数解.结果表明F-展开法对构造非线性偏微分方程的精确解具有适用性和有效性.The exact solutions of(2+1)-dimensional Hirota-Maccari equations are constructed.The(2+1)dimensional Hirota-Maccari equation is transformed into an ordinary differential equation by traveling wave transformation,and then the expression of the solution is determined by balancing the highest derivative term and nonlinear term.A series of exact solutions with parameters are constructed by F-expansion method,including trigonometric and hyperbolic function solutions.The results show that the F-expansion method is applicable and effective to construct the exact solutions of nonlinear partial differential equations.

关 键 词：(2+1)维Hirota-Maccari方程 F-展开法 精确解 

分 类 号：O175.29[理学—数学]