Exact Solutions of Gardner Equations through tanh-coth Method
نویسندگان
چکیده
منابع مشابه
Exact Solutions for Some (2+1)-Dimensional Nonlinear Evolution Equations by Using Tanh-coth Method
In this work, we established exact solutions for some nonlinear evolution equations. The tanhcoth method was used to construct solitary and soliton solutions of (2+1)-dimensional nonlinear evolution equations. The tanh-coth method presents a wider applicability for handling nonlinear wave equations.
متن کاملSolutions of Zhiber-Shabat and Related Equations Using a Modified tanh-coth Function Method
The modified tanh-coth function method is used to obtain new exact travelling wave solutions for Zhiber-Shabat equation and the related equations: Liouville equation, sinh-Gordon equation, Dodd-Bullough-Mikhailov equation, and Tzitzeica-Dodd-Bullough equation. Exact travelling wave solutions for each equation are derived and expressed in terms of hyperbolic functions, trigonometric functions an...
متن کاملNew Exact Traveling Wave Solutions for the Kawahara and Modified Kawahara Equations by Using Modified Tanh-coth Method
In this paper we use the modified tanh-coth method to solve the Kawahara and the modified Kawahara equations. New multiple traveling wave solutions are obtained for the Kawahara and the modified Kawahara equations. 2000 Mathematics Subject Classification: 35K01; 35J05.
متن کاملObservations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations
The ‘tanh-coth expansion method’ for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the 1990s. It usually delivers three types of solution, namely a tanh-function expansion, a coth-function expansion, and a tanh-coth expansion. It...
متن کاملComments on the use of the tanh-coth expansion method for finding solutions to nonlinear evolution equations
The ‘tanh-coth expansion method’ for finding solitary travelling-wave solutions to nonlinear evolution equations has been used extensively in the literature. It is a natural extension to the basic tanh-function expansion method which was developed in the 1990s. It usually delivers three types of solution, namely a tanh-function expansion, a coth-function expansion, and a tanh-coth expansion. It...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2016
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2016.718186