文章基本信息

标题：Construction of ( n + 1 ) $(n+1)$ -dimensional dual-mode nonlinear equations: multiple shock wave solutions for ( 3 + 1 ) $(3+1)$ -dimensional dual-mode Gardner-type and KdV-type
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作者：Ali Jaradat ; M. M. M. Jaradat ; Mohd Salmi Md Noorani 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-12
DOI：10.1186/s13662-019-1960-4
出版社：Hindawi Publishing Corporation
摘要：The goal of this study is to offer an exclusive functional conversion to produce ( n + 1 ) $(n+1)$ -dimensional dual-mode nonlinear equations. This transformation has been implemented and new ( 3 + 1 ) $(3+1)$ -dimensional dual-mode Gradner-type and KdV-type have been established. Finally, the simplified bilinear method is used to tell the necessary conditions on these new models to have multiple singular-solitons.
关键词：((3+1)) -dimensional dual-mode Gradner-type ; ((3+1)) -dimensional dual-mode KdV-type ; Simplified bilinear method ; Multiple singular-soliton shock wave solutions