Geodesic
Asymptotics of the Solutions of the One-Dimensional Nonlinear System of Equations of Shallow Water with Degenerate Velocity
Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 721-730.

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A system of one-dimensional nonlinear equations of shallow water with degenerate velocity is considered. The change of variables taking the given system to a nonlinear system with small nonlinearity is proposed. Formal asymptotic solutions near the point of degeneracy are obtained.
Keywords: nonlinear system of equations of shallow water, Carrier–Greenspan transformation, Cauchy problem, Schwartz space, Duhamel integral, Hankel transform. 
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D. S. Minenkov. Asymptotics of the Solutions of the One-Dimensional Nonlinear System of Equations of Shallow Water with Degenerate Velocity. Matematičeskie zametki, Tome 92 (2012) no. 5, pp. 721-730. http://geodesic.mathdoc.fr/item/MZM_2012_92_5_a7/

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