A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients
文献类型：期刊论文
| 作者 | Li, B; Chen, Y |
| 刊名 | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| 出版日期 | 2005-11-01 |
| 卷号 | 60期号:11-12页码:768-774 |
| 关键词 | truncated Painleve expansion backlund transformation symbolic computation nonlinear Schrodinger equation solitons |
| ISSN号 | 0932-0784 |
| 英文摘要 | By using the truncated Painleve expansion analysis an auto-Backlund transformation is found for the nonlinear Schrodinger equation with varying dispersion, nonlinearity, and gain or absorption. Then, based on the obtained auto-Backlund transformation and symbolic computation, we explore some explicit exact solutions including soliton-like solutions, singular soliton-like solutions, which may be useful to explain the corresponding physical phenomena. Further, the formation and interaction of solitons are simulated by computer. |
| WOS研究方向 | Chemistry ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000235958100002 |
| 出版者 | VERLAG Z NATURFORSCH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1360]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, B |
| 作者单位 | 1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, B,Chen, Y. A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2005,60(11-12):768-774. |
| APA | Li, B,&Chen, Y.(2005).A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,60(11-12),768-774. |
| MLA | Li, B,et al."A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 60.11-12(2005):768-774. |
入库方式： OAI收割
来源：数学与系统科学研究院
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