摘要
利用1/G展开法对一类时间-空间分数阶Klein-Gordon方程进行了求解,并得到了丰富的行波解.所得解主要为该方程的孤立波解和扭曲波解.选取部分解进行相图分析显示,所得解均是有效的.该研究结果扩展了分数阶Klein-Gordon方程的应用范围.
The 1/G expansion method is adopted for solving a class of time-space fractional-order Klein-Gordon equations.Computed results present abundant traveling wave solutions,which mainly include two parts:solitary wave solutions and distorted wave solutions.Furthermore,the part of phase diagrams of the obtained solutions are analyzed,and the results show that the obtained solutions is valid.The research extends the application scope of the fractional Klein-Gordon equations.
作者
陆求赐
王学彬
张宋传
徐瑞标
LU Qiuci;WANG Xuebin;ZHANG Songchuan;XU Ruibiao(College of Humanities and Teacher Education,Wuyi University,Wuyishan 354300,China;College of Mathematics and Computer,Wuyi University,Wuyishan 354300,China)
出处
《延边大学学报(自然科学版)》
CAS
2023年第1期30-35,共6页
Journal of Yanbian University(Natural Science Edition)
基金
福建省教育厅科技项目(JA15512,JAT160519)
福建省自然科学基金(2021J011148)
武夷学院高级引进人才科研启动基金(YJ201802)。