具幂次非线性项的伪抛物型方程的精确解  

Exact solutions of pseudo-parabolic equations with power nonlinear terms

作　　者：刘倩 LIU Qian(School of Mathematics,Southwest Minzu University,Chengdu 610041,China)

机构地区：[1]西南民族大学数学学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2024年第5期562-565,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：四川省自然科学基金项目(2023NSFSC1293);中央高校基本科研业务费专项基金项目(ZYN2023019)。

摘　　要：研究具幂次非线性项的伪抛物型方程.利用二阶微分方程作为辅助方程,对伪抛物型方程的解进行合理假设,将原方程转化为一组复杂代数方程并借助于计算机代数系统进行求解,最终获得了伪抛物型方程具有tanh函数形式、三角函数形式和有理函数形式的新精确解.The pseudo-parabolic equations with power nonlinear terms were studied.Using second-order differential equation as auxiliary equation,the solutions of the pseudo-parabolic equation was made reasonable assumption,the original equation was transformed into a set of complex algebraic equations and solved by computer algebraic system.Finally,new exact solutions of the pseudo-parabolic equation with tanh,trigonometric and rational forms were obtained.

关 键 词：伪抛物型方程 函数展开法 精确解 

分 类 号：O175.26[理学—数学]