KMS Of Academy of mathematics and systems sciences, CAS
| A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation | |
| Li, Biao1,3; Chen, Yong1,2; Li, Yu-Qi1,3 | |
| 2008-12-01 | |
| Source Publication | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| ISSN | 0932-0784 |
| Volume | 63Issue:12Pages:763-777 |
| Abstract | On the basis of symbolic computation a generalized sub-equation expansion method is presented for constructing sonic exact analytical solutions of nonlinear partial differential equations. To illustrate the validity of the method, we investigate the exact analytical solutions of the inhomogeneous high-order nonlinear Schrodinger equation (IHNLSE) including not only the group velocity dispersion, self-phase-modulation, but also various high-order effects, such as the third-order dispersion, self-steepening and self-frequency shift. As a result, a broad class of exact analytical solutions of the IHNLSE are obtained. From our results, many previous solutions of some nonlinear Schrodinger-type equations can be recovered by means of suitable selections of the arbitrary functions and arbitrary constants. With the aid of computer simulation, the abundant structure of bright and dark solitary wave solutions, combined-type solitary wave solutions, dispersion-managed solitary wave solutions, Jacobi elliptic function solutions and Weierstrass elliptic function solutions are shown by some figures. |
| Keyword | Inhomogeneous High-Order NLS Equation Elliptic Function Solutions Solitary Wave Solutions |
| Language | 英语 |
| Funding Project | NSF of China[10747141] ; NSF of China[10735030] ; Zhejiang Provincial NSF of China[605408] ; Ningbo NSF[2007A610049] ; Ningbo NSF[2006A610093] ; Ningbo University |
| WOS Research Area | Chemistry ; Physics |
| WOS Subject | Chemistry, Physical ; Physics, Multidisciplinary |
| WOS ID | WOS:000263552600004 |
| Publisher | VERLAG Z NATURFORSCH |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/5598 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Li, Biao |
| Affiliation | 1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China 2.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Biao,Chen, Yong,Li, Yu-Qi. A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2008,63(12):763-777. |
| APA | Li, Biao,Chen, Yong,&Li, Yu-Qi.(2008).A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,63(12),763-777. |
| MLA | Li, Biao,et al."A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 63.12(2008):763-777. |
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