Abundant rational solutions and conservation laws of the generalized BKP-Boussinesq equation and its dimensionally reduced equations

被引：0
|
作者：
Kang, Zhou-Zheng [1 ,2 ]
Xia, Tie-Cheng [1 ]
Ma, Wen-Xiu [3 ,4 ,5 ,6 ,7 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[6] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China
[7] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
KUWAIT JOURNAL OF SCIENCE | 2019年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
(3+1)-dimensional gBKP-Boussinesq equation; conservation laws; dimensionally reduced equations; lump solutions; rational solutions; LUMP-KINK SOLUTIONS; ROGUE WAVE;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
By virtue of a variable transformation and a quadratic function approach, we generate rational analytical solutions to the (3+1)-dimensional gBKP-Boussinesq equation and lump solutions to its three types of dimensionally reduced equations. In addition, we derive quite a few conservation laws for those equations by employing the first homotopy method.
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页码：1 / 10
页数：10
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