Abstract
In this paper, a (3 + 1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation is investigated and its various new interaction solutions among solitons, rational waves and periodic waves are obtained by the direct algebraic method, together with the inheritance solving technique. The results are fantastic interaction phenomena, and are shown by figures. Meanwhile, any higher order interaction solutions among solitons, breathers, and lump waves are constructed by an N-soliton decomposition algorithm developed by us. These innovative results greatly enrich the structure of the solutions of this equation.
| Original language | English |
|---|---|
| Pages (from-to) | 2217-2235 |
| Number of pages | 19 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 24 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Oct 2023 |
Keywords
- (3 + 1)-dimensional BKP equation
- N-soliton decomposition algorithm
- inheritance solving
- multiwave interaction solutions
- the direct algebraic method
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