安徽大学学报（自然科学版）2024，Vol.48Issue(6)：37-46,10.DOI:10.3969/j.issn.1000-2162.2024.06.006
(2+1)维双sine-Gordon方程新的无穷序列精确解
New infinite series exact solutions to the(2+1)dimensional double sine-Gordon equation
摘要
Abstract
The(2+1)dimensional double sine-Gordon equation is commonly used to describe nonlinear wave phenomena in fields such as nonlinear optics,superfluids,and ferromagnetic materials.A new method for constructing infinite sequence solitary wave solutions and periodic wave solutions was proposed.By using the Riccati equation as an auxiliary equation and solving it through different iteration relationships,many new hyperbolic and trigonometric solutions to the equation were obtained.By substituting the obtained solutions into the(2+1)dimensional double sine-Gordon,a large number of new infinite series exact solitary wave solutions and periodic wave solutions to the(2+1)dimensional double sine-Gordon equation were obtained,most of which had not been reported in other literature.关键词
(2+1)维双sine-Gordon方程/孤立波解/周期波解/无穷序列解Key words
(2+1)dimensional double sine-Gordon equation/solitary wave solution/periodic wave solution/infinite series solution分类
数理科学引用本文复制引用
吴国将,吁艳林..(2+1)维双sine-Gordon方程新的无穷序列精确解[J].安徽大学学报（自然科学版）,2024,48(6):37-46,10.基金项目
凯里学院博士专项基金资助项目(BS20240209) （BS20240209）
