Two forms of (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: multiple soliton solutions

Two extended forms of a (3 + 1)-dimensional generalized B-type Kadomtsev–Petviashvili (BKP) equation are examined. We use the simplified Hereman–Nuseir form to establish one and two soliton solutions for each extended equation. We develop specific constraints that guarantee the existence of multiple soliton solutions for each equation.