摘要
通过引入广义G′/(G′+G+A)展开法,研究一类广义非线性薛定谔方程和一类新的时空分数阶(1+1)维耦合薛定谔方程,得到其新的、更一般形式的精确解.当取定特殊的参数值,可以获得各种特殊类型的解,包含孤波解、奇异波解和三角函数解,这些解对于解释一些实际物理现象有帮助.该方法的应用丰富了这两类方程(组)的解组,同时对非线性偏微分方程的研究具有一定意义.
In this paper,a generalized G′/(G′+G+A)-expansion method was introduced to find new and more general exact solutions involving parameters to a class of generalized nonlinear Schr?dinger equation and a new form of space-time fractional(1+1)-dimensional coupled Schr?dinger equations,when these parameters were taken to be special values,some special types of solutions including solitary wave solutions,singular wave solutions and trigonometric function solutions were derived.These solutions might be imperative and significant for the explanation of some practical physical phenomena.This method enriched the solution of these two types of equations(groups)which was of some significance in the study of nonlinear partial differential equations.
作者
洪宝剑
陈威
卢殿臣
HONG Baojian;CHEN Wei;LU Dianchen(Department of Mathematical Physics, Nanjing Institute of Technology, Nanjing 211167, China;School of Electric Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China;School of Science, Jiangsu University, Zhenjiang 212013, China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第4期23-32,共10页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11701274)
江苏省大学生实践创新训练计划指导项目(201811276060X,201911276109H)
江苏省高等学校自然科学研究资助项目(18KJB110013)
南京工程学院科研基金资助项目(ZKJ201513,CKJB201709)。
