Supported by the National Natural Science Foundation of China under Grant No 10671156, and the Program for New Century Excellent Talents in University (NCET-04-0968)
We discuss the motions of curves by introducing an extra spatial variable or equivalently, moving surfaces in arffine geometries. It is shown that the 2 +1-dimensional breaking soliton equation and a 2 + 1-dimension...
Supported by the National Natural Science Foundation of China under Grant No 10671156, and the Programme for New Century Excellent Talents in University (NCET-04-0968).
The conditional Lie Bgcklund symmetry method, as a generalization of the conditional symmetry and Lie Bgcklund symmetry methods, is developed to study the Hamilton-Jacobi equations. It is shown that the equation ut = ...
Supported by the National Natural Science Foundation of China under Grant No 10671156, and the Programme for New Century Excellent Talents in University (NCET-04-0968).
We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transforma...