Journal
NONLINEAR DYNAMICS
Volume 101, Issue 4, Pages 2413-2422Publisher
SPRINGER
DOI: 10.1007/s11071-020-05881-3
Keywords
Extended Kadomtsev-Petviashvili equation; Rational solutions; Semi-rational solutions; Bilinear method
Categories
Funding
- NSF of China [11671219]
- Natural Science Foundation of Zhejiang Province [LY15A010005]
- Natural Science Foundation of Ningbo [2018A610197]
Ask authors/readers for more resources
In this work, the (2+1)-dimensional extended Kadomtsev-Petviashvili equation, which models the surface waves and internal waves in straits or channels, is investigated via the Hirota bilinear method.N-soliton and high-order breather solutions are obtained analytically. Furthermore, mixed solutions consisting of first-order breathers and solitons are also derived, and the corresponding dynamic behaviors are shown by three-dimensional plots. Additionally, based on the long-wave limit, we obtain line rogue waves, lumps and semi-rational solutions composed of lumps, line rogue waves and solitons. It is noteworthy that the semi-rational solutions derived in this paper exhibit elastic interactions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available