Add to ORKGThe modified method of simplest equation is powerful tool for obtaining exact and approximate solutions of nonlinear PDEs. These solutions are constructed on the basis of solutions of more simple equations called simplest equations. In this paper we study the role of the simplest equation for the application of the modified method of simplest equation. We follow the idea that each function constructed as polynomial of a solution of a simplest equation is a solution of a class of nonlinear PDEs. We discuss three simplest equations: the equations of Bernoulli and Riccati and the elliptic equation. The applied algorithm is as follows. First a polynomial function is constructed on the basis of a simplest equation. Then we find nonlinear ODEs th...
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Algorithms are presented for the tanh- and sech-methods, which lead to closed-form solutions of non...
In this paper, we propose a new algorithm for solving ordinary differential equations. We show the s...
The modified method of simplest equation is powerful tool for obtaining exact and approximate soluti...
2010 Mathematics Subject Classification: 74J30, 34L30.The modified method of simplest equation is us...
We discuss the class of equations Sigma(m)(ij=0)A(ij)(u) partial derivative(i)u/partial derivative t...
The method of simplest equation is powerful tool for obtaining exact and approximate solutions of no...
AbstractIn this article, we focus on the exact solution of the some nonlinear partial differential e...
We consider an extension of the methodology of the modified method of simplest equation to the case ...
AbstractIn this work, the modified simple equation (MSE) method is applied to some class of nonlinea...
Exact solutions of nonlinear differential equations are of great importance to the theory and practi...
In this article, we apply the modified simple equation method to find the exact solutions with param...
In this paper, the modified simple equation method is used to construct exact periodic and soliton s...
Abstract: In this paper, we focus on the exact solution of the coupled nonlinear Schrödinger type eq...
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The i...
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Algorithms are presented for the tanh- and sech-methods, which lead to closed-form solutions of non...
In this paper, we propose a new algorithm for solving ordinary differential equations. We show the s...
The modified method of simplest equation is powerful tool for obtaining exact and approximate soluti...
2010 Mathematics Subject Classification: 74J30, 34L30.The modified method of simplest equation is us...
We discuss the class of equations Sigma(m)(ij=0)A(ij)(u) partial derivative(i)u/partial derivative t...
The method of simplest equation is powerful tool for obtaining exact and approximate solutions of no...
AbstractIn this article, we focus on the exact solution of the some nonlinear partial differential e...
We consider an extension of the methodology of the modified method of simplest equation to the case ...
AbstractIn this work, the modified simple equation (MSE) method is applied to some class of nonlinea...
Exact solutions of nonlinear differential equations are of great importance to the theory and practi...
In this article, we apply the modified simple equation method to find the exact solutions with param...
In this paper, the modified simple equation method is used to construct exact periodic and soliton s...
Abstract: In this paper, we focus on the exact solution of the coupled nonlinear Schrödinger type eq...
A good idea of finding the exact solutions of the nonlinear evolution equations is introduced. The i...
Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More...
Algorithms are presented for the tanh- and sech-methods, which lead to closed-form solutions of non...
In this paper, we propose a new algorithm for solving ordinary differential equations. We show the s...