LUMP SOLUTIONS TO THE (2+1)-DIMENSIONAL SHALLOW WATER WAVE EQUATION

被引：14

作者：

Ma, Hong-Cai ^{[1
]}

Ni, Ke ^{[1
]}

Deng, Aiping ^{[1
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai, Peoples R China

来源：

THERMAL SCIENCE | 2017年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

lump solution; Hirota bilinear; shallow water wave equation; RATIONAL SOLUTIONS; SOLITON EQUATION; BOUSSINESQ EQUATION; KP EQUATION; SYSTEM; FORM;

D O I：

10.2298/TSCI160816066M

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Through symbolic computation with MAPLE, a class of lump solutions to the (2+1)-D shallow water wave equation is presented, making use of its Hirota bilinear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the (2+1)-D shallow water wave equation and the other four of which satisfy a non-zero determinant condition guaranteeing analyticity and rational localization of the solutions.

引用

页码：1765 / 1769

页数：5

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