Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation
文献类型：期刊论文
| 作者 | Qian, XM; Lou, SY; Hu, XB |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2004-10-01 |
| 卷号 | 59期号:10页码:645-658 |
| 关键词 | multi-linear variable separation approach differential-difference ANNV equation semi-discrete localized coherent structures |
| ISSN号 | 0932-0784 |
| 英文摘要 | The multi-linear variable separation approach is applied to a differential-difference asymmetric Nizhnik-Novikov-Veselov equation. It is found that the solution formula ANNV equation is rightly the semi-discrete form of the continuous one which describes some types of special solutions for many (2+1)-dimensional continuous systems. Moreover, it is different but similar to that of a special differential-difference Toda system. Thus abundant semi-discrete localized coherent structures of the ANNV equation are easily constructed by appropriately selecting the arbitrary functions appearing in the final solution formula. A concrete method to construct multiple localized discrete excitations with and without completely elastic interaction properties are discussed. It is found that for some types of bounded solitoff modes, they can exchange solitoffs, move in new different directions, extend the lengths of solitoffs, etc. after finishing their interactions. |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225221600005 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19208]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lou, SY |
| 作者单位 | 1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China 3.Ningbo Univ, Dept Phys, Ningbo 315211, Peoples R China 4.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qian, XM,Lou, SY,Hu, XB. Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2004,59(10):645-658. |
| APA | Qian, XM,Lou, SY,&Hu, XB.(2004).Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,59(10),645-658. |
| MLA | Qian, XM,et al."Variable separation approach for a differential-difference asymmetric Nizhnik-Novikov-Veselov equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 59.10(2004):645-658. |
入库方式： OAI收割
来源：数学与系统科学研究院
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