(2+1)维变系数非线性KP方程新推广解  

New Generalized Solution of the Nonlinear KP Equation with(2+1)Dimensional Variable Coefficients

作　　者：靳玲花[1] 白慧[1] 李珊珊[1] JIN Ling-hua(College of Hetao,Bayannur Inner Mongolia 051000,China)

机构地区：[1]河套学院数学与计算机系,内蒙古巴彦淖尔015000

出　　处：《长春工程学院学报（自然科学版）》2022年第4期125-128,共4页Journal of Changchun Institute of Technology：Natural Sciences Edition

基　　金：河套学院科学技术研究项目自然科学一般项目(HYZY202105);内蒙古自治区高等学校科学研究项目(NJZY21173)。

摘　　要：为适应非线性发展方程包括变系数非线性发展方程求解的需要,试图探求辅助方程多样化和解的形式的一般化,对王明亮教授提出的(G′/G)-展开法进行了更有意义的推广。为验证此推广的可靠性与有效性,将它再次应用到(2+1)维广义圆柱变系数KP方程中以期寻求内涵更为丰富的精确解,最终取得了成功。说明此推广具有可靠性和安全性。To meet the needs of solving the nonlinear development equation,including the variable coefficient nonlinear development equation.In order to explore a more general form of the diversification and reconciliation of the auxiliary equations,we make a more meaningful generalization of the(G′/G)-expansion method proposed by Professor Wang Mingliang.In order to verify the reliability and validity of this generalization,we apply it again to the(2+1)dimensional generalized cylindrical variation coefficient KP equation in order to find more abundant accurate solutions,and finally achieve success.This shows that this promotion has strong reliability and security.

关 键 词：发展方程 精确解 推广的(G′/G)-展开法 (2+1)维广义圆柱KP方程 

分 类 号：O175.29[理学—数学]