非局部KP-型方程的广义双线性导数  

Nonlocal KP-type Equations with Generalized Bilinear Derivative

作　　者：赵倩 闫璐 Qian Zhao;Lu Yan(College of Science&Technology Ningbo University,Zhejiang Ningbo 315211;School of Computer Science,Xijing University,Xi'an 710123)

机构地区：[1]宁波大学科学技术学院,浙江宁波315211 [2]西京学院计算机学院,西安710123

出　　处：《数学物理学报（A辑）》2023年第1期143-158,共16页Acta Mathematica Scientia

基　　金：国家自然科学基金(11971251);陕西省教育厅科研计划项目(18JK0987)。

摘　　要：将Hirota双线性方法进行推广,得到广义的双线性变换方法,并应用于研究具有非局部项的非线性色散方程.该文利用本方法研究了包括KPII,BKP和(3+1)-维gKP的KP-型方程,导出了它们的非局部形式,作为结论,借助性质构造了KP-型方程的孤立波解和近似解.A generalized bilinear transformation method,as an extension of bilinear transformation method due to Hirota,is applied to study the nonlinear dispersive equations with nonlocal terms.With this method,the KP-type equations including the KP-II,BKP and(3+1)-dimensional generalized KP equations are studied and their nonlocal forms are derived.As the conclusions,the solitary wave solutions and approximate solutions of those KP-type equations are constructed by developing the bilinear transformation method.

关 键 词：双线性变换方法 广义双线性导数 近似解 KP方程 BKP方程 

分 类 号：O175.2[理学—数学]