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.

引用

页码：1 / 10

页数：10

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