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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 6, Pages 1069–1071 (Mi zvmmf9624)  
On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation

A. V. Gasnikov

Moscow Institute of Physics and Technology
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Abstract: An upper bound on the distance between the centers of two successive traveling waves occurring in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation is established under generic conditions. Taking into account a previously established lower bound, an asymptotically sharper estimate is derived.
Key words: Burgers-type equation, asymptotics, phase shift.
Received: 25.08.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 6, Pages 937–939
DOI: https://doi.org/10.1134/S0965542512060085
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Gasnikov, “On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 1069–1071; Comput. Math. Math. Phys., 52:6 (2012), 937–939
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