Constructing Infinite Number of Exact Traveling Wave Solutions of Nonlinear Evolution Equations Via an Extended Tanh–Function Method
ثبت نشده
چکیده
Abstract: Two class of fractional type solutions of Riccati equation are constructed from its three known solutions. These fractional type solutions are used to propose an approach for constructing infinite number of exact traveling wave solutions of nonlinear evolution equations by means of the extended tanh–function method. The infinite number of exact traveling wave solutions of the long–short wave interaction system and the generalized variable coefficients Korteweg–de Vries equation are obtained by the approach. The obtained new solutions not only can recover old solutions but also can give infinite number of new exact solutions for nonlinear evolution equations. The method also can be applied to find infinite number of exact traveling wave solutions of the other nonlinear evolution equations.
منابع مشابه
Exact solutions for nonlinear partial differential equations by using the extended tanh - method Mahmoud
The tanh method is a powerful solution method; various extension forms of the tanh method have been developed with a computerized symbolic computation and is used for constructing the exact travelling wave solutions, of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. First a power series in tanh was used as an ansatz t...
متن کاملExact Traveling Wave Solutions for Modified Liouville Equation Arising in Mathematical Physics and Biology
In this paper, we employ extended tanh-function method and the (G0 G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Liouville equation and comparison between this two method and another method which have been solved it. When these parameters are taken to be special values, the solitary wave solutions are derived from t...
متن کاملThe extended tanh method and its applications for solving nonlinear physical models
The tanh method is a powerful solution method; various extension forms of the tanh method have been developed with a computerized symbolic computation and is used for constructing the exact travelling wave solutions, of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. First a power series in tanh was used as an ansatz t...
متن کاملThe modified extended tanh-function method and its applications to the generalized KdV-mKdV equation with any-order nonlinear terms
In this article we apply the modified extended tanh-function method to find the exact traveling wave solutions of the generalized KdV-mKdV equation with any order nonlinear terms. This method presents a wider applicability for handling many other nonlinear evolution equations in mathematical physics.
متن کاملSome new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation
In this paper, we obtain exact solutions involving parameters of some nonlinear PDEs in mathmatical physics; namely the one-dimensional modified complex Ginzburg-Landau equation by using the $ (G'/G) $ expansion method, homogeneous balance method, extended F-expansion method. By using homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by j...
متن کامل