On Symmetries and Conservation Laws of the Equations of Shallow Water with an Axisymmetric Profile of Bottom

V. S. Titov
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V. S. Titov: Academy of Sciences, Program Systems Institute of the U.S.S.R.

A chapter in Symmetries of Partial Differential Equations, 1989, pp 137-147 from Springer

Abstract: Abstract The local symmetries and conservation laws are calculated for the equations of shallow water with an axisymmetric profile of bottom under the assumption that the corresponding generating functions may depend only on all variables and their derivatives up to the second order. It is shown that if the bottom has the form of a paraboloid of revolution, then there are many symmetries and conservation laws generalizing those for the case of plane bottom.

Keywords: Equations of shallow water; symmetry; conservation law (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-1948-8_6

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DOI: 10.1007/978-94-009-1948-8_6

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