一类Klein-Gordan方程的精确解  

Exact solutions of a class of Klein-Gordan equations

作　　者：张娟 杨吉英 ZHANG Juan;YANG Jiying(Faculty of Science and Engineering,Oxbridge College,Kunming University of Science and Technology,650106,Kunming;School of mathematics,Baoshan University,678000,Baoshan,Yunnan,PRC)

机构地区：[1]昆明理工大学津桥学院理工学院,昆明市650106 [2]保山学院数学学院,云南省保山市678000

出　　处：《曲阜师范大学学报（自然科学版）》2021年第3期7-12,共6页Journal of Qufu Normal University(Natural Science)

基　　金：云南省教育厅科学研究基金项目(2018JS752);国家自然科学基金(11801240).

摘　　要：介绍了一种求解微分方程的新方法——自然分解法.自然分解法是自然变换与Adomian分解法的结合.利用该方法得到了克莱因-戈登方程的精确解,所得结果与文献中已有的结果是一致的.In this paper,a new method for solving differential equations-the natural decomposition method is introduced.The natural decomposition method is a combination of the natural transform method and the Adomian decompositon method.The exact solution of Klein-Gordon equation is obtained by using this method,and the results obtained by this technique are consistent with known results.

关 键 词：Klein-Gordan方程 自然变换 ADOMIAN分解法 自然分解法 

分 类 号：O175.2[理学—数学]