A generalized Konno–Oono system is integrable via infinitely many non-trivial conservation laws from a geometric Riccati expansion, and its travelling waves yield S^{3} surfaces with periodically sign-changing Gaussian curvature.
Reyes, Pseudo-potentials, nonlocal symmetries, and integrability of some shallow water equations.Selecta Mathematica (New Series)12(2006), 241–270
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Lund--Regge Geometry and Integrability of a Generalized Konno--Oono System
A generalized Konno–Oono system is integrable via infinitely many non-trivial conservation laws from a geometric Riccati expansion, and its travelling waves yield S^{3} surfaces with periodically sign-changing Gaussian curvature.