5 papers
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…
Local isometric immersions of pseudospherical surfaces described by a class of third order partial differential equations
Mingyue Guo, Zhenhua Shi
In this paper, we study the problem of local isometric immersion of pseudospherical surfaces determined by the solutions of a class of third order nonlinear partial differential eq…
Local isometric immersions of pseudospherical surfaces described by a class of third order differential equations
Mingyue Guo, Zhenhua Shi
We discuss a specific type of pseudospherical surfaces defined by a class of third order differential equations, of the form , and…
Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces
Mingyue Guo, Zhenhua Shi
A generalized Camassa-Holm equation, which describes pseudospherical surfaces, is considered. Using geometric methods, it is demonstrated that the equation is geometrically integra…
The Quasi-Integrability of a Generalized Camassa-Holm Equation
Mingyue Guo, Zhenhua Shi
This paper examines a generalization of the Camassa-Holm equation from the perspective of integrability. Using the framework developed by Dubrovin on bi-Hamiltonian deformations an…