Geodesic
Quasilinear Burgers--Hopf Equation and Stasheff Polytopes
Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 34-47

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The generating function for the numbers of faces of the $n$th Stasheff polytope is shown to satisfy the quasilinear Burgers–Hopf equation. Applications of this result are given.
Keywords: Stasheff polytope, Catalan number, Burgers–Hopf equation, generating function, series of polytopes, modular graph. 
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     author = {V. M. Buchstaber and E. V. Koritskaya},
     title = {Quasilinear {Burgers--Hopf} {Equation} and {Stasheff} {Polytopes}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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V. M. Buchstaber; E. V. Koritskaya. Quasilinear Burgers--Hopf Equation and Stasheff Polytopes. Funkcionalʹnyj analiz i ego priloženiâ, Tome 41 (2007) no. 3, pp. 34-47. http://geodesic.mathdoc.fr/item/FAA_2007_41_3_a2/