Decomposition solutions and B?cklund transformations of the B-type and C-type Kadomtsev-Petviashvili equations

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外文摘要：This paper introduces a modified formal variable separation approach,showcasing a systematic and notably straightforward methodology for analyzing the B-type Kadomtsev-Petviashvili(BKP)equation.Through the application of this approach,we successfully ascertain decomposition solutions,Bäcklund transformations,the Lax pair,and the linear superposition solution associated with the aforementioned equation.Furthermore,we expand the utilization of this technique to the C-type Kadomtsev-Petviashvili(CKP)equation,leading to the derivation of decomposition solutions,Bäcklund transformations,and the Lax pair specific to this equation.The results obtained not only underscore the efficacy of the proposed approach,but also highlight its potential in offering a profound comprehension of integrable behaviors in nonlinear systems.Moreover,this approach demonstrates an efficient framework for establishing interrelations between diverse systems.

外文关键词：

decomposition solutionBäcklund transformationLax pairlinear superposition solution

作者：

Xiazhi Hao、S Y Lou

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作者单位：

College of Science,Zhejiang University of Technology,Hangzhou 310014,China

School of Physical Science and Technology,Ningbo University,Ningbo 315211,China

基金：

National Natural Science Foundations of ChinaNational Natural Science Foundations of ChinaNational Natural Science Foundations of ChinaNatural Science Foundation of Zhejiang Province

项目编号：

123013151223500711975131LQ20A010009

出版年：

2024

DOI：

10.1088/1572-9494/ad3b8b

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

年,卷(期)：2024.76(6)