KMS Of Academy of mathematics and systems sciences, CAS
| Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation | |
| Li, Biao; Chen, Yong | |
| 2006-10-01 | |
| Source Publication | ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
 |
| ISSN | 0932-0784 |
| Volume | 61Issue:10-11Pages:509-518 |
| Abstract | In this paper, the generalized projective Riccati equation method is extended to investigate the inhomogeneous higher-order nonlinear Schrodinger (IHNLS) equation including not only the group velocity dispersion and self-phase-modulation, but also various higher-order effects, such as the third-order dispersion, self-steepening and self-frequency shift. With the help of symbolic computation, a broad class of analytical solutions of the IHNLS equation is presented, which include bright-like solitary wave solutions, dark-like solitary wave solutions, W-shaped solitary wave Solutions, combined bright-like and dark-like solitary wave solutions, and dispersion-managed solitary wave solutions. From our results, many previously known results about the IHNLS equation can be recovered by means of some suitable selections of the arbitrary functions and arbitrary constants. Furthermore, from the soliton management concept, the main soliton-like character of the exact analytical solutions is discussed and simulated by computer under different parameters conditions. |
| Keyword | inhomogeneous higher-order nonlinear Schrodinger equation generalized projective Riccati equation method solitary wave solutions symbolic computation |
| Language | 英语 |
| WOS Research Area | Chemistry ; Physics |
| WOS Subject | Chemistry, Physical ; Physics, Multidisciplinary |
| WOS ID | WOS:000243375700001 |
| Publisher | VERLAG Z NATURFORSCH |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/2959 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Li, Biao |
| Affiliation | 1.Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Peoples R China 2.Ningbo Univ, Dept Math, Ningbo 315211, 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. Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2006,61(10-11):509-518. |
| APA | Li, Biao,&Chen, Yong.(2006).Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,61(10-11),509-518. |
| MLA | Li, Biao,et al."Some exact analytical solutions to the inhomogeneous higher-order nonlinear Schrodinger equation using symbolic computation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 61.10-11(2006):509-518. |
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