Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations

Structural properties of an equation describing pseudospherical surfaces

Igor L Freire
UFSCar
Brazil
Co-Author(s):    
Abstract:
In this talk we study Lie symmetries and conservation laws for an integrable equation describing pseudospherical surfaces. As an application, we use the Lie symmetries to construct explicit metrics for the pseudospherical surface determined by the solutions of the equation.