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

被引：39
|
作者：
Chen, Yu [1 ]
Lue, Xing [1 ,2 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
[2] Beijing Jiaotong Univ, Beijing Lab Natl Econ Secur Early Warning Engn, Beijing 100044, Peoples R China
来源：
PHYSICS OF FLUIDS | 2023年 / 35卷 / 10期
基金：
中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;
关键词：
SOLITON-SOLUTIONS; COMPLEXITON SOLUTIONS; BOUSSINESQ EQUATION;
D O I：
10.1063/5.0160184
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The Wronskian solutions to the B-type Kadomtsev-Petviashvili (BKP) equation are discussed based on the Plucker 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.
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收藏
页数：17
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