Geodesic
Generalized hodograph method from the group-theoretical point of view
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 205-210 
V. R. Kudashev; S. E. Sharapov. Generalized hodograph method from the group-theoretical point of view. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 2, pp. 205-210. http://geodesic.mathdoc.fr/item/TMF_1990_85_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the scale invariance of equations of hydrodynamic type leads to an algebraic construction of a series of group-invariant solutions corresponding to the generalized hodograph method. A solution of Whitham's equations for the KdV equation is obtained for certain initial conditions.

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