Abstract
In this paper, a series of ripple waves with decay modes for the (Formula presented.) -dimensions Kadomtsev–Petviashvili equation, always viewed as nonintegrable KP equation, are investigated. The decay mode wave solutions including ripplon, lump ripples, and lump chain ripples are described by Airy function, and all solutions are constructed from the Gram determinant form. Their propagation dynamics behavior is studied, and a comprehensive analysis of the asymptotic properties of these solutions has been diligently conducted.
| Original language | English |
|---|---|
| Pages (from-to) | 10444-10461 |
| Number of pages | 18 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 47 |
| Issue number | 12 |
| DOIs | |
| State | Published - Aug 2024 |
Keywords
- Airy function
- lump ripple
- ripplon
- rogue wave
Fingerprint
Dive into the research topics of 'Decay mode ripple waves within the (3+1)-dimensional Kadomtsev–Petviashvili equation'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver