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Lump type solutions: Bäcklund transformation and spectral properties
Liu, Yong1; Wei, Jun Cheng2; Yang, Wen3
2024-12
Source PublicationPHYSICA D-NONLINEAR PHENOMENA
ISSN0167-2789
Volume470Pages: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.

KeywordBacklund Transformation Kp-i Equation Spectral Analysis
DOI10.1016/j.physd.2024.134394
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:001336504000001
PublisherELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
Scopus ID2-s2.0-85206098570
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorYang, Wen
Affiliation1.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 AffilicationFaculty 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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