Dynamical asymptotic analysis to a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation: The superposition formulas of rational solutions and interaction solutions under the bilinear vector method

Hangbing Shao and Sudao Bilige

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 240, issue C, 938-952

Abstract: We obtain rational solutions and two types of interaction solutions for a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation based on the Hirota bilinear form. Meanwhile, the bilinear vector method is independently proposed. The bilinear vector method combines computer symbol calculation and manual logic deduction, making it easy to acquire the superposition formula. Three types of solutions exhibit different dynamical behaviors, and they can be obtained based on asymptotic analysis. Especially, two types of interaction solutions differ in spatial globality. The stability of the rational wave as well as the collision behavior of the rational wave and stripe waves are both graphically shown.

Keywords: Bilinear vector method; Superposition formulas; Dynamical analysis (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:240:y:2026:i:c:p:938-952

DOI: 10.1016/j.matcom.2025.07.058

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