Author
Borluk, Handan, Bruell, G., Nilsson, D.
Publication Date
2022-07
Publication Place
-
Wiley
Subject
Dimension-breaking bifurcation, Exponential time differencing, Fractional Kadomtsev–Petviashvili equation, Petviashvili iteration, Solitary waves, Transverse instability
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0022-2526
Record ID
f5d831cc-5b09-4246-9a74-ff3672e62f62
Library Location
Natural and Mathematical Sciences
Date
2022-07
Notes
Deutsche Forschungsgemeinschaft
Sample Text
Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary wave solutions is proved by dimension-breaking bifurcation. Moreover, the line solitary wave solutions and their transverse (in)stability are discussed. Analogous to the classical Kadmomtsev–Petviashvili (KP) equation, the fKP equation comes in two versions: fKP-I and fKP-II. We show that the line solitary waves of fKP-I equation are transversely linearly instable. We also perform numerical experiments to observe the (in)stability dynamics of line solitary waves for both fKP-I and fKP-II equations.
DOI
10.1111/sapm.12494
Cilt
149
