Wronskian solutions and linear superposition of rational solutions to B-type Kadomtsev–Petviashvili equation-Reference-Cited by-同舟云学术

Wronskian solutions and linear superposition of rational solutions to B-type Kadomtsev–Petviashvili equation

Published:2023-08-01 Issue:10 Volume:35 Page:
ISSN:1070-6631
Container-title:Physics of Fluids
language:en
Short-container-title:

Author:

Chen Yu¹,Lü Xing¹²^ORCID

Affiliation:

1. Department of Mathematics, Beijing Jiaotong University 1 , Beijing 100044, China

2. Beijing Laboratory of National Economic Security Early-Warning Engineering, Beijing Jiaotong University 2 , Beijing 100044, China

Abstract

The Wronskian solutions to the B-type Kadomtsev–Petviashvili (BKP) equation are discussed based on the Plücker relation. Rational solutions, positon solutions, negaton solutions, and complexiton solutions to the BKP equation are directly constructed. The Wronskian formulation is employed to generate rational solutions in the form of determinants. A polynomial identity is demonstrated that an arbitrary linear combination of two Wronskian polynomial solutions of different orders is again a solution to the bilinear BKP equation. The validity of the linear superposition principle can be inferred for two Wronskian rational solutions to certain equations under specific conditions.

Funder

Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China

Beijing Laboratory of National Economic Security Early-warning Engineering

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Link

https://pubs.aip.org/aip/pof/article-pdf/doi/10.1063/5.0160184/18191393/106613_1_5.0160184.pdf

Reference36 articles.

1. Linear superposition of Wronskian rational solutions to the KdV equation;Commun. Theor. Phys.,2021