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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer Nature Switzerland AG
- Subject
- Mathematics; Analysis; Mathematical Methods in Physics
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-018-0258-0
- Publisher site
- See Article on Publisher Site
Abstract
In this work, we consider the (3 + 1)-dimensional potential Yu–Toda–Sasa–Fukuyama (YTSF) equation. By employing the extended homoclininc test approach and Hirota bilinear method, we derive a class of lump solutions of the potential YTSF equation. It is interesting that interaction solutions between the lump-type solution and one stripe soliton, and the lump-type solution and a pair of resonance solution are obtained, respectively, by using a direct method. The interaction solutions of the potential YTSF equation show that a lump-type solution appears from a soliton wave and swallowed by it later, which are the completely non-elastic interactions that rare to see. Moreover, we also obtain its periodic lump-type solutions. It is hoped that our results can be used to enrich the dynamic behaviors of the YTSF-type equations.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: Oct 27, 2018