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Classical and generalized invariant solutions of the relaxing hydrodynamics equations

Vladimirov V.

Opuscula Mathematica

2003

Vol. 23

81-94

We analyze the set of invariant travelling wave solutions of the relaxing hydrodynamics models and state the conditions that guarantee the existence of periodic solutions and limiting to them soliton-like regimes. We also study the existence of the shock wave invariant solutions. In some special case the periodic invariant solution is shown to give rise to the blow-up regime.