KMS Of Academy of mathematics and systems sciences, CAS
New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions | |
Hu, XB; Tam, HW | |
2001-04-01 | |
发表期刊 | INVERSE PROBLEMS |
ISSN | 0266-5611 |
卷号 | 17期号:2页码:319-327 |
摘要 | Two new integrable differential-difference systems with their Lax pairs are proposed. By the dependent variable transformations, these integrable lattices can be transformed into bilinear equations. With the assistance of Mathematica, three-soliton solutions are explicitly obtained. We have also shown that these lattices can be obtained from a special case of the coupled bilinear equations under reduction. Furthermore a bilinear Backlund transformation and the corresponding nonlinear superposition formula concerning the coupled bilinear equations are presented. Besides, it is also illustrated that the y-flow of these coupled bilinear equations can be transformed into a lattice previously derived by the authors. Starting from the corresponding bilinear Backlund transformation, its corresponding Lax pair is obtained. |
语种 | 英语 |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000168108000011 |
出版者 | IOP PUBLISHING LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/16395 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Hu, XB |
作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China |
推荐引用方式 GB/T 7714 | Hu, XB,Tam, HW. New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions[J]. INVERSE PROBLEMS,2001,17(2):319-327. |
APA | Hu, XB,&Tam, HW.(2001).New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions.INVERSE PROBLEMS,17(2),319-327. |
MLA | Hu, XB,et al."New integrable differential-difference systems: Lax pairs, bilinear forms and soliton solutions".INVERSE PROBLEMS 17.2(2001):319-327. |
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