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

被引：59
作者：
Chen, Yu [1 ]
Lu, 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：
中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;
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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页数：17
相关论文
共 36 条
[1]   Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation and its modified counterpart [J].
Asaad, Magdy G. ;
Ma, Wen-Xiu .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) :5524-5542
[2]   The periodic solutions of the discrete modified KdV equation with a self-consistent source [J].
Babadjanova, Aygul ;
Kriecherbauer, Thomas ;
Urazboev, Gayrat .
APPLIED MATHEMATICS AND COMPUTATION, 2020, 376
[3]  
Cao YL, 2023, NONLINEAR DYNAM, V111, P13391, DOI 10.1007/s11071-023-08555-y
[4]   Dynamic behaviors of the lump solutions and mixed solutions to a (2+1)-dimensional nonlinear model [J].
Chen, Si-Jia ;
Lu, Xing ;
Yin, Yu-Hang .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2023, 75 (05)
[5]   Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations [J].
Chen, Si-Jia ;
Yin, Yu-Hang ;
Lu, Xing .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 130
[6]   Derivation and simulation of the M-lump solutions to two (2+1)-dimensional nonlinear equations [J].
Chen, Si-Jia ;
Lu, Xing ;
Li, Meng-Gang ;
Wang, Fang .
PHYSICA SCRIPTA, 2021, 96 (09)
[7]   Backlund transformation, Wronskian solutions and interaction solutions to the (3+1)-dimensional generalized breaking soliton equation [J].
Chen, Yu ;
Lu, Xing ;
Wang, Xiao-Li .
EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (06)
[8]   Rational and complexiton solutions of the (3+1)-dimensional KP equation [J].
Cheng, Li ;
Zhang, Yi ;
Tong, Zi-Shuang ;
Ge, Jian-Ya .
NONLINEAR DYNAMICS, 2013, 72 (03) :605-613
[9]   SOLITON-SOLUTIONS OF THE KORTEWEG-DEVRIES AND KADOMTSEV-PETVIASHVILI EQUATIONS - THE WRONSKIAN TECHNIQUE [J].
FREEMAN, NC ;
NIMMO, JJC .
PHYSICS LETTERS A, 1983, 95 (01) :1-3
[10]   Study on the (2+1)-dimensional extension of Hietarinta equation: soliton solutions and Backlund transformation [J].
Gao, Di ;
Lu, Xing ;
Peng, Ming-Shu .
PHYSICA SCRIPTA, 2023, 98 (09)
1234