Geodesic
A~construction of a~solution to the Burgers equation with a~specified asymptotics
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 80-85

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A construction of solutions to the Burgers equation and the heat equation on the plane of independent variables by specified asymptotics at minus-infinity in time is described. Application of the construction is demonstrated on examples of asymptotic series in half-integer powers of time. 
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     author = {S. V. Zakharov},
     title = {A~construction of a~solution to the {Burgers} equation with a~specified asymptotics},
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S. V. Zakharov. A~construction of a~solution to the Burgers equation with a~specified asymptotics. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 80-85. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a6/