2 papers
math-ph2026
Systems of partial differential equations describing pseudo-spherical or spherical surfaces
Mingyue Guo, Jing Kang, Zhenhua Shi
In this paper, we study systems of nonlinear partial differential equations which describe surfaces of constant curvature. From the flatness condition of connection 1-forms, we pre…
math-ph2025
On a class of third order differential equations describing pseudospherical or spherical surfaces
Mingyue Guo, Jing Kang, Zhenhua Shi +1
In this paper, we study third order nonlinear partial differential equations which describe surfaces of constant curvature. From the flatness of connection 1-forms, we present a cl…