PAINLEVE ANALYSIS FOR HIGHER-DIMENSIONAL INTEGRABLE SHALLOW WATER WAVES EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS

被引：0

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

ROMANIAN REPORTS IN PHYSICS | 2020年 / 72卷 / 02期

关键词：

Painleve analysis; compatibility conditions; shallow water waves equations; SOLITON-SOLUTIONS; POWER-LAW; KDV;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the (2+1)- and (3+1)-dimensional shallow water waves equations with time-dependent coefficients. We study the integrability of each developed model by using the Painleve approach. Multiple soliton solutions and multiple complex soliton solutions, for each equation, are constructed using the Hirota's direct method, and the related complex criteria.

引用

页数：7

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