文章基本信息

标题：Jacobi doubly periodic wave solutions for three versions of Benjamin-Bona- Mahony equation
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作者：M. A. Abdelkawy ; M. A. Alghamdi ; A. H. Bhrawy 等
期刊名称：Scientific Research and Essays
印刷版ISSN：1992-2248
出版年度：2012
卷号：7
期号：27
页码：2417-2423
DOI：10.5897/SRE12.299
语种：English
出版社：Academic Journals
摘要：A variety of exact solutions for the Kadomtsov-Petviashvili- Benjamin-Bona-Mahony (KP-BBM) equation, nonlinear Zakharov-Kuznetsov- Benjamin-Bona-Mahony (ZK-BBM) equation and the generalized ZK-BBM equation are developed by means of the extended Jacobi elliptic function expansion method. Soliton and triangular periodic solutions can be established as the limits of Jacobi doubly periodic wave solutions.
关键词：Jacobi elliptic function method; soliton and triangular periodic solutions; nonlinear dispersive Kadomtsov-Petviashvili- Benjamin-Bona-Mahony (KP-BBM) equation; nonlinear Zakharov-Kuznetsov- Benjamin-Bona-Mahony (ZK-BBM) equation; the generalized ZK-BBM equation