Journal
NONLINEAR DYNAMICS
Volume 109, Issue 3, Pages 2013-2027Publisher
SPRINGER
DOI: 10.1007/s11071-022-07559-4
Keywords
Kadomtsev-Petviashvili equation; Lattice structure; Folded wave; Dromion; Lump; Breather
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Funding
- National Social Science Foundation of China [21AJY011]
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In this study, a variable separation solution for a new extended B-type Kadomtsev-Petviashvili equation is derived using the multi-linear variable separation approach. The obtained solutions contain two arbitrary functions without any constraint. Various folded solitary waves are also derived by introducing a multi-valued function. Additionally, the chase-collision and interaction phenomena are observed by adjusting the velocities.
In this work, we employ the multi-linear variable separation approach to derive variable separation solution for a new extended (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. The solutions obtained here contain two totally separated arbitrary functions without any constraint. In addition, three kinds of localized excitations have been constructed, including dromion-lattice structure, lump-lattice structure and periodic lattice structure. By adjusting the velocities to be equal or unequal, the chase-collision and interaction phenomena have been observed. Moreover, folded solitary waves such as worm shape, worm-dromion shape, worm-solitoff shape, fin shape and octopus shape foldons are derived by introducing multi-valued function. Lastly, we discuss the interaction behavior of two- and three-foldon and construct M x N folded wave.
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