文章基本信息

标题：On the exponential solutions to three extracts from extended fifth-order KdV equation
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作者：Aly R. Seadawy ; R.I. Nuruddeen ; K.S. Aboodh 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2020
卷号：32
期号：1
页码：765-769
DOI：10.1016/j.jksus.2019.01.007
语种：English
出版社：Elsevier
摘要：AbstractAn extended fifth order Korteweg-de-Vries (efKdV) equation is an important equation in fluids dynamics for the description of nonlinear wave processes, and contains quite a number of KdV-type equations including the Sawada-Kotera equation, the Caudrey-Dodd-Gibbon equation, the Lax equation, the Kaup-Kuperschmidt equation and the Ito equation among others. However, in this paper, we examine the efKdV by extracting three different fifth order Korteweg-de-Vries (fKdV) equations. Solitary wave solutions to the extracts are found by means of an exponential function ansatz specifically constructed for the study. The obtained solutions can be used in description of shallow-water waves.
关键词：Fifth order KdV equation;KdV equations;Exponential function ansatz;Solitary wave