文章基本信息

标题：New solitary wave solutions of some nonlinear models and their applications
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作者：Asghar Ali ; Aly R. Seadawy ; Dianchen Lu 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：2018
卷号：2018
期号：1
页码：232
DOI：10.1186/s13662-018-1687-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this manuscript, we utilize the algorithm of ( G ′ / G ) $(G'/G)$ expansion method to construct new solutions of three important models, the Ablowitz–Kaup–Newell–Segur water wave equation, the ( 2 + 1 ) $(2 + 1)$ -dimensional Boussinesq equation, and the ( 3 + 1 ) $(3+1)$ -dimensional Yu–Toda–Sasa–Fukuyama equation, having numerous application in plasma physics, fluid dynamics, and optical fibers. Some new types of traveling wave solutions are acquired, which have not been obtained previously by using this our new technique. The achieved solutions appear with all necessary constraint conditions, which are compulsory for them to exist. The constructed new solutions have vital applications in applied sciences. To understand the physical phenomena of these models, we have also presented graphically movements of the obtained results. It is shown that the our technique provides a more powerful mathematical tool for constructing exact traveling wave solutions for many other nonlinear waves models in mathematics and physics.