Exact Solutions of an Alice-Bob KP Equation

作     者：Wen-Biao Wu Sen-Yue Lou 吴文标;楼森岳

作者机构：School of Physical Science and TechnologyNingbo UniversityNingbo315211China Shanghai Key Laboratory of Trustworthy ComputingEast China Normal UniversityShanghai200062China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2019年第71卷第6期

页      面：629-632页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by National Natural Science Foundation of China under Grant Nos.11435005,and 11675084 sponsored by K.C.Wong Magna Fund in Ningbo University 

主　　题：nonlocal systems KP equations parity and time reversal classical prohibition 

摘      要：An Alice-Bob Kadomtsev-Petviashivili(ABKP) equation with shifted-parity(■_s^x parity with a shift for the space variable x) and delayed time reversal(■d, time reversal with a delay) symmetries is investigated. The multi-soliton solutions with three arbitrary even or odd functions are found from the ■_s^x■_d symmetry reductions of a coupled local KP system. The result shows that for the ABKP equation with ■_s^x■_d nonlocality, the odd numbers of solitons are *** solitons of the ABKP must be paired. For the ABKPⅡ equation, there exists a critical value of wave numbers for the existence of paired solitons. For the ABKPI equation, there are two types of breather excitations. A lump solution of the ABKPI may possess four, five or six leaves.