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 -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.

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