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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Basing on a method of stochastic perturbation of a Langevin system associated with the multidimensional Hopf equation we deduce an explicit asymptotic formula for smooth solution to the Cauchy problem for several important quasilinear system and equations. In particular, this asymptotical representation is possible for any genuinely nonlinear hyperbolic system of equations written in the Riemann invariants and nonlinear wave equation.