In this paper, the solutions of three dimensional incompressible magnetohydrodynamics (MHD) equations are obtained by using sin method and Riccati auxiliary equation. This paper obtains the soliton solutions by the ai...In this paper, the solutions of three dimensional incompressible magnetohydrodynamics (MHD) equations are obtained by using sin method and Riccati auxiliary equation. This paper obtains the soliton solutions by the aid of software Mathematica.展开更多
In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant negative curvature, so that the densities of conservation laws can...In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant negative curvature, so that the densities of conservation laws can be considered as corresponding Hamiltonians. This paper obtains the soliton solution and conserved quantities of a new fifth-order nonlinear evolution equation by the aid of inverse scattering method.展开更多
文摘In this paper, the solutions of three dimensional incompressible magnetohydrodynamics (MHD) equations are obtained by using sin method and Riccati auxiliary equation. This paper obtains the soliton solutions by the aid of software Mathematica.
文摘In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant negative curvature, so that the densities of conservation laws can be considered as corresponding Hamiltonians. This paper obtains the soliton solution and conserved quantities of a new fifth-order nonlinear evolution equation by the aid of inverse scattering method.
