Key points are not available for this paper at this time.
In is known that the equations u t − g ( u ) u x x = ± g′ ( u ) describe pseudo‐spherical surfaces, i.e. that these equations are the integrability conditions for the structural equations of such surfaces, provided g satisfies g′ + µg = θ . In this paper we obtain self‐Bäcklund transformations for these equations by a geometric method, and show how the inverse scattering method generates global solutions.
Beals et al. (Sun,) studied this question.