The Improved Riccati Equation Method and Exact Solutions to mZK Equation | Zendy

Xiaofeng Li | Zendy

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The Improved Riccati Equation Method and Exact Solutions to mZK Equation

Author(s) -

Xiaofeng Li

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/596762

Subject(s) - riccati equation , mathematics , trigonometry , nonlinear system , algebraic riccati equation , computation , hyperbolic function , rational function , mathematical analysis , trigonometric functions , symbolic computation , wave equation , partial differential equation , geometry , algorithm , physics , quantum mechanics

We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics

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