Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation

ABSTRACT

The direct algebraic method, together with the inheritance solving strategy, is utilized to construct multiwave interaction solutions among solitons, rational waves and periodic waves for a $(3+1)$-dimensional generalized BKP equation. In addition, an N-soliton decomposition algorithm derived from the simplified Hirota method, the conjugated parameters assignment and long-wave limit techniques is introduced. By the N-soliton decomposition algorithm, higher-order interaction solutions among solitons, breathers and lump waves for this equation are generated. The highlight of N-soliton decomposition algorithm is that it bypasses the solving of (super) large-scale nonlinear algebraic equations, so it can be used to obtain much higher-order multiwave interaction solutions.

Keywords:

• BKP equation
• interaction solution
• multiwave solution
• direct algebraic method
• inheritance solving strategy

2010 Mathematics Subject Classifications:

• 35C07
• 35C08
• 35C09
• 35G20

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant [No.11871328]; the Shanghai Natural Science Foundation under Grant [No.19ZR1414000]; and the Science and Technology Commission of Shanghai Municipality under Grant [No.18dz2271000].

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 11871328]; the Shanghai Natural Science Foundation [grant number 19ZR1414000]; and the Science and Technology Commission of Shanghai Municipality [grant number 18dz2271000].