Abstract
AbstractWe show that an equation discovered in V. Novikov [Generalizations of the Camassa–Holm equation, J Phys A: Math Theor. 2009; 42: paper 342002] describes pseudo‐spherical surfaces and is geometrically integrable. From the geometric structure of the equation we obtain an infinite hierarchy of conservation laws. The problem of local isometric immersions is also considered.
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