Residential College | false |
Status | 已發表Published |
Lump type solutions: Bäcklund transformation and spectral properties | |
Liu, Yong1; Wei, Jun Cheng2; Yang, Wen3 | |
2024-12 | |
Source Publication | PHYSICA D-NONLINEAR PHENOMENA |
ISSN | 0167-2789 |
Volume | 470Pages:134394 |
Abstract | There are various different ways to obtain traveling waves of lump type(higher order lumps) for the KP-I equation. We propose a general and simple approach to derive them via a Bäcklund transformation. This enables us to establish an explicit connection between those lower energy solutions and higher energy ones. Based on this construction, spectral analysis of the degree 6 solutions is then carried out in details. The analysis of higher energy ones can be done in an inductive way. |
Keyword | Backlund Transformation Kp-i Equation Spectral Analysis |
DOI | 10.1016/j.physd.2024.134394 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
WOS ID | WOS:001336504000001 |
Publisher | ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS |
Scopus ID | 2-s2.0-85206098570 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Yang, Wen |
Affiliation | 1.School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, China 2.Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong 3.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao |
Corresponding Author Affilication | Faculty of Science and Technology |
Recommended Citation GB/T 7714 | Liu, Yong,Wei, Jun Cheng,Yang, Wen. Lump type solutions: Bäcklund transformation and spectral properties[J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 470, 134394. |
APA | Liu, Yong., Wei, Jun Cheng., & Yang, Wen (2024). Lump type solutions: Bäcklund transformation and spectral properties. PHYSICA D-NONLINEAR PHENOMENA, 470, 134394. |
MLA | Liu, Yong,et al."Lump type solutions: Bäcklund transformation and spectral properties".PHYSICA D-NONLINEAR PHENOMENA 470(2024):134394. |
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