The solution of the Cauchy problem, an infinite set of conserved quantities, a variational formulation, the auto-Backlund transformations and the soliton phenomenology (featuring singly and doubly humped solitons, as well as breathers) are surveyed briefly for the integrable non-linear evolution partial differential equation (PDE) u t +(u xx -2 eta u 3 - 2 3 uu x 3 /( eta +u 2 )) x =0, eta =+or-1.
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Calogero et al. (1985) studied this question.
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