Resonant multiple wave solutions to a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation: Linear superposition principle

被引：56

作者：

Lin, Fu-Hong ^{[1
]}

Chen, Shou-Ting ^{[2
]}

Qu, Qi-Xing ^{[3
]}

Wang, Jian-Ping ^{[1
]}

Zhou, Xian-Wei ^{[1
]}

Lu, Xing ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Comp & Commun Engn, Beijing 100083, Peoples R China

[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221111, Jiangsu, Peoples R China

[3] Univ Int Business & Econ, Sch Informat, Beijing 100029, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 78卷

基金：

中国国家自然科学基金;

关键词：

New (3+1)-dimensional generalized; Kadomtsev-Petviashvili equation; Resonant multiple wave solution; Hirota bilinear method; Linear superposition principle; NONLINEAR SCHRODINGER-EQUATION; HIROTA BILINEAR EQUATION; RATIONAL SOLUTIONS; HIGHER-ORDER; INTEGRABILITY; SOLITONS; SYSTEM;

D O I：

10.1016/j.aml.2017.10.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear superposition principle is applied to the Hirota bilinear form of a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, which leads to a sufficient and necessary criterion for the existence of linear subspaces of exponential traveling wave solutions. As a result, resonant multiple wave solutions are derived and plotted for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：112 / 117

页数：6

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