Nonlinear Complex Wave Excitations in (2+1)-Dimensional Klein-Gordon Equation Investigated by New Wave Transformation
文献类型：期刊论文
| 作者 | Wu, Guojiang1 ; Guo, Yong2; Yu, Yanlin1
|
| 刊名 | MATHEMATICS
 |
| 出版日期 | 2024-09-01 |
| 卷号 | 12 |
| 关键词 | (2+1)-dimensional Klein-Gordon equation Jacobian elliptic function auxiliary equation nonlinear evolution equation complex wave structure |
| DOI | 10.3390/math12182867 |
| 通讯作者 | Guo, Yong(yguo@ipp.ac.cn) ; Yu, Yanlin(yuyanlin@kluniv.edu.cn) |
| 英文摘要 | The Klein-Gordon equation plays an important role in mathematical physics, such as plasma and, condensed matter physics. Exploring its exact solution helps us understand its complex nonlinear wave phenomena. In this paper, we first propose a new extended Jacobian elliptic function expansion method for constructing rich exact periodic wave solutions of the (2+1)-dimensional Klein-Gordon equation. Then, we introduce a novel wave transformation for constructing nonlinear complex waves. To demonstrate the effectiveness of this method, we numerically simulated several sets of complex wave structures, which indicate new types of complex wave phenomena. The results show that this method is simple and effective for constructing rich exact solutions and complex nonlinear wave phenomena to nonlinear equations. |
| WOS关键词 | ELLIPTIC FUNCTION EXPANSION ; EXTENDED TANH METHOD ; EVOLUTION-EQUATIONS ; SOLITONS |
| 资助项目 | Specialized Fund for the Doctoral of Kaili University ; National Natural Science Foundation of China[12275307] ; National Natural Science Foundation of China[11575238] ; [BS20240209] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:001323279200001 |
| 出版者 | MDPI |
| 资助机构 | Specialized Fund for the Doctoral of Kaili University ; National Natural Science Foundation of China |
| 源URL | [http://ir.hfcas.ac.cn:8080/handle/334002/135712]  |
| 专题 | 中国科学院合肥物质科学研究院 |
| 通讯作者 | Guo, Yong; Yu, Yanlin |
| 作者单位 | 1.Kaili Univ, Sch Sci, Kaili 556000, Peoples R China 2.Chinese Acad Sci, Hefei Inst Phys Sci, Inst Plasma Phys, Hefei 230031, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Guojiang,Guo, Yong,Yu, Yanlin. Nonlinear Complex Wave Excitations in (2+1)-Dimensional Klein-Gordon Equation Investigated by New Wave Transformation[J]. MATHEMATICS,2024,12. |
| APA | Wu, Guojiang,Guo, Yong,&Yu, Yanlin.(2024).Nonlinear Complex Wave Excitations in (2+1)-Dimensional Klein-Gordon Equation Investigated by New Wave Transformation.MATHEMATICS,12. |
| MLA | Wu, Guojiang,et al."Nonlinear Complex Wave Excitations in (2+1)-Dimensional Klein-Gordon Equation Investigated by New Wave Transformation".MATHEMATICS 12(2024). |
入库方式： OAI收割
来源：合肥物质科学研究院
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