New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method | Zendy

Yun-Mei Zhao | Zendy

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New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method

Author(s) -

Yun-Mei Zhao

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/848069

Subject(s) - korteweg–de vries equation , infinitesimal , mathematics , type (biology) , trigonometry , simple (philosophy) , trigonometric functions , hyperbolic function , mathematical analysis , term (time) , work (physics) , order (exchange) , nonlinear system , physics , ecology , philosophy , geometry , epistemology , quantum mechanics , biology , thermodynamics , finance , economics

In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the simplest equation method and its variants. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometric, and rational functions. These methods are more effective and simple than other methods and a number of solutions can be obtained at thesame time

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