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Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
Exact solutions for some reaction diffusion systems with nonlinear reaction polynomial terms
Factorization method nonlinear polynomial exact solutions
2010/9/10
We introduce a method to find exact traveling wave solutions for reaction diffusion systems of equations with nonlinear reaction polynomial terms. We will apply the method on an important kinds of rea...
Exact solutions for a class of Boussinesq equation
Boussinesq equation projective Riccati equtions approach
2010/9/10
Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation-Boussinesq equation is discussed in this paper, some new explicit and exact solutions a...
Exact solutions for a class of Boussinesq equation
Boussinesq equation projective Riccati equtions approach
2010/9/10
Based on a new projective Riccati equations approach and Maple software, a class of nonlinear evolution equation-Boussinesq equation is discussed in this paper, some new explicit and exact solutions a...
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Canonical reduction of the self-dual Yang-Mills equations to inhomogeneous nonlinear Schrodinger equation and exact solutions
Nonlinear evolution equations Yang-Mills theory
2010/9/14
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...
The homotopy analysis method for the exact solutions of the K(2,2), Burgers and coupled Burgers equations
Burgers equation coupled Burgers equations homogeneous advection equation
2010/9/14
By means of the homotopy analysis method (HAM), the solutions of the K(2,2), Burgers and coupled Burgers equations are exactly obtained in this paper. This analytical method is also employed to solve ...