KMS Of Academy of mathematics and systems sciences, CAS
Integrable discretization of soliton equations via bilinear method and B¨acklund transformation | |
其他题名 | Integrable discretization of soliton equations via bilinear method and B¨acklund transformation |
Zhang YingNan1; Chang XiangKe1; Hu Juan3; Hu XingBiao1; Tam HonWah4 | |
2015-01-01 | |
发表期刊 | 中国科学:数学(英文版) |
ISSN | 1674-7283 |
页码 | 279-296 |
其他摘要 | We present a systematic procedure to derive discrete analogues of integrable PDEs via Hirota’s bilinear method.This approach is mainly based on the compatibility between an integrable system and its B¨acklund transformation.We apply this procedure to several equations,including the extended Korteweg-deVries(Kd V)equation,the extended Kadomtsev-Petviashvili(KP)equation,the extended Boussinesq equation,the extended Sawada-Kotera(SK)equation and the extended Ito equation,and obtain their associated semidiscrete analogues.In the continuum limit,these differential-difference systems converge to their corresponding smooth equations.For these new integrable systems,their B¨acklund transformations and Lax pairs are derived. |
收录类别 | CSCD |
语种 | 中文 |
资助项目 | [National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council] |
CSCD记录号 | CSCD:5386928 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/57620 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.中国科学院大学 3.浙江大学 4.香港浸会大学 |
推荐引用方式 GB/T 7714 | Zhang YingNan,Chang XiangKe,Hu Juan,et al. Integrable discretization of soliton equations via bilinear method and B¨acklund transformation[J]. 中国科学:数学(英文版),2015:279-296. |
APA | Zhang YingNan,Chang XiangKe,Hu Juan,Hu XingBiao,&Tam HonWah.(2015).Integrable discretization of soliton equations via bilinear method and B¨acklund transformation.中国科学:数学(英文版),279-296. |
MLA | Zhang YingNan,et al."Integrable discretization of soliton equations via bilinear method and B¨acklund transformation".中国科学:数学(英文版) (2015):279-296. |
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