Periodic and solitary wave solutions for a generalized variable-coefficient BoitiLeonPempinlli system
DOI: 10.1016/J.CAMWA.2017.01.008
关键词: Jacobi elliptic functions 、 Nonlinear system 、 Variable coefficient 、 Homogeneous 、 Reduction (mathematics) 、 Mathematical analysis 、 Similarity (network science) 、 Mathematics 、 Ordinary differential system 、 Kruskal's algorithm
摘要: In this paper, a generalized variable-coefficient BoitiLeonPempinlli (BLP) system is studied via the modified Clarkson and Kruskal (CK) direct reduction method connected with homogeneous balance (HB) method, which can describe water waves in fluid physics. A similarity to nonlinear ordinary differential obtained. By solving reduced system, new analytical solutions (including solitary periodic types) terms of Jacobi elliptic functions are given for BLP system.
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