Exact solutions for Calogero–Bogoyavlenskii–Schiff equation using symmetry method

generalized double sinh-gordon equation: symmetry reductions, exact solutions and conservation laws

this paper aims to study a generalized double sinh-gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. lie symmetry analysis together with the simplest equation method is used to obtain exact solutions for this equation. moreover, we derive conservation laws for the equation by using two different approaches, na...

Exact solutions for wave-like equations by differential transform method

Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...

Exact Solutions to KdV6 Equation by Using a New Approach of the Projective Riccati Equation Method

1 Departamento de Matemáticas, Universidad Nacional de Colombia, Calle 45, Carrera 30, P.O. Box: Apartado Aéreo: 52465, Bogotá, Colombia 2 Departamento de Matemáticas, Universidad Nacional de Colombia, Carrera 27 no. 64–60, P.O. Box: Apartado Aéreo 127, Manizales, Colombia 3 Departamento de Matemáticas, Universidad de Caldas, Calle 65 no. 26–10, Caldas, P.O. Box: Apartado Aéreo 275, Manizales, ...

The exact solutions and approximate analytic solutions of the (2 + 1)-dimensional KP equation based on symmetry method

In this paper, we successfully obtained the exact solutions and the approximate analytic solutions of the (2 + 1)-dimensional KP equation based on the Lie symmetry, the extended tanh method and the homotopy perturbation method. In first part, we obtained the symmetries of the (2 + 1)-dimensional KP equation based on the Wu-differential characteristic set algorithm and reduced it. In the second ...

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow