Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions. (30th September 2020)

• Record Type: Journal Article
• Authors: Xiong, Na; Li, Wen-Tao; Li, Biao
• Other Names: Fellah Zine El Abiddine Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2020(2020)
• Publication Date: 2020-09-30
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2020/6185391
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : Through the method of Z N -KP hierarchy, we propose a new (3 + 1 )-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. Furthermore, we verify the accuracy of the trajectory equation by numerical analysis. This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.