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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 85, Number 2, Pages 205–210
(Mi tmf5943)
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This article is cited in 10 scientific papers (total in 10 papers)
Generalized hodograph method from the group-theoretical point of view
V. R. Kudashev, S. E. Sharapov
Abstract:
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.
Received: 07.05.1990
Citation:
V. R. Kudashev, S. E. Sharapov, “Generalized hodograph method from the group-theoretical point of view”, TMF, 85:2 (1990), 205–210; Theoret. and Math. Phys., 85:2 (1990), 1155–1159
Linking options:
https://www.mathnet.ru/eng/tmf5943 https://www.mathnet.ru/eng/tmf/v85/i2/p205
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