The formation process of pseudo-spherical α-Fe2O3 particles obtained through the hydrolysis of 0.01 mol·L-1 FeCl3 solution was studied by means of TEM and XRD.The results show that the growth of α-Fe2O3 nuclies...The formation process of pseudo-spherical α-Fe2O3 particles obtained through the hydrolysis of 0.01 mol·L-1 FeCl3 solution was studied by means of TEM and XRD.The results show that the growth of α-Fe2O3 nuclies is through the diffusion mechanism.Although the presence of CTAB in the FeCl3 solution has no effect on the growth process of pseudo-spheric α-Fe2O3 particles,more uniform particles are obtained,and the particles are self-assembled to form two-dimensional ordered structure due to the effect of CTAB.The optical character of these α-Fe2O3 particles was investigated,and the band-gap of which is about 2.49 eV.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
It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are ...It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are directly constructed. In addition, a class of nonlocal symmetries depending on the pseudo-potentials are obtained.展开更多
In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establis...In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group.Besides,we defray with illustration some computational examples in support our main results.展开更多
In this paper I introduce the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudo-spherical surface for Kaup-Ku-pershmidt Equation with consta...In this paper I introduce the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudo-spherical surface for Kaup-Ku-pershmidt Equation with constant Gaussian curvature –1. I obtained new soliton solutions for Kaup-Kupershmidt Equation by using the modified sine-cosine method.展开更多
文摘The formation process of pseudo-spherical α-Fe2O3 particles obtained through the hydrolysis of 0.01 mol·L-1 FeCl3 solution was studied by means of TEM and XRD.The results show that the growth of α-Fe2O3 nuclies is through the diffusion mechanism.Although the presence of CTAB in the FeCl3 solution has no effect on the growth process of pseudo-spheric α-Fe2O3 particles,more uniform particles are obtained,and the particles are self-assembled to form two-dimensional ordered structure due to the effect of CTAB.The optical character of these α-Fe2O3 particles was investigated,and the band-gap of which is about 2.49 eV.
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.
基金Supported by the China NSF for Distinguished Young Scholars under Grant No.10925104
文摘It is shown that the two-component Camassa-Holm and Hunter-Saxton systems are geometrically integrable, namely they describe pseudo-spherical surfaces. As a consequence, their infinite number of conservation laws are directly constructed. In addition, a class of nonlocal symmetries depending on the pseudo-potentials are obtained.
文摘In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group.Besides,we defray with illustration some computational examples in support our main results.
文摘In this paper I introduce the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudo-spherical surface for Kaup-Ku-pershmidt Equation with constant Gaussian curvature –1. I obtained new soliton solutions for Kaup-Kupershmidt Equation by using the modified sine-cosine method.
