Lump and Interaction Solutions of Linear PDEs in (3+1)-Dimensions

被引：53

作者：

Ma, Wen-Xiu ^{[1
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机构：

[1] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[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] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2019年 / 9卷 / 01期

关键词：

Symbolic computation; lump solution; interaction solution; INTEGRABLE SYMPLECTIC MAP; ROSSBY SOLITARY WAVES; DE-VRIES EQUATION; SYMMETRY CONSTRAINT; RATIONAL SOLUTIONS; KINK SOLUTIONS; HIERARCHY; SYSTEM; WELL;

D O I：

10.4208/eajam.100218.300318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear partial differential equations in (3 + 1)-dimensions consisting of all mixed second-order derivatives are considered, and Maple symbolic computations are made to construct their lump and interaction solutions, including lump-periodic, lump-kink and lump-soliton solutions.

引用

页码：185 / 194

页数：10

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