Geodesic
Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics
Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 911-922

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We study the wave part of a localized solution of the linear system of shallow water equations. Given a relationship between initial conditions, the relationship between the corresponding solutions is found.
Keywords: linear hyperbolic system, linearized shallow water equations, localized asymptotic solution, creation operator. 
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     author = {S. A. Sergeev and A. A. Tolchennikov},
     title = {Creation {Operators} in the {Problem} of {Localized} {Solutions} of the {Linearized} {Shallow} {Water} {Equations} with {Regular} and {Singular} {Characteristics}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a12/}
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S. A. Sergeev; A. A. Tolchennikov. Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics. Matematičeskie zametki, Tome 100 (2016) no. 6, pp. 911-922. http://geodesic.mathdoc.fr/item/MZM_2016_100_6_a12/