Shallow water waves: Conservation laws and symplectic geometry

Yilmaz Akyildiz

doi:10.1016/0375-9601(83)90772-7

Shallow water waves: Conservation laws and symplectic geometry

Yilmaz Akyildiz^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that shallow water equations on a sloping beach can be cast into hamiltonian form, that they have infinitely many polynomial conserved quantities in involution and that there are associated symplectic Bäcklund transformations.

Original language	English
Pages (from-to)	27-28
Number of pages	2
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	95
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(83)90772-7
State	Published - 11 Apr 1983

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Shallow water waves: Conservation laws and symplectic geometry",

abstract = "We show that shallow water equations on a sloping beach can be cast into hamiltonian form, that they have infinitely many polynomial conserved quantities in involution and that there are associated symplectic B{\"a}cklund transformations.",

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AB - We show that shallow water equations on a sloping beach can be cast into hamiltonian form, that they have infinitely many polynomial conserved quantities in involution and that there are associated symplectic Bäcklund transformations.

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Shallow water waves: Conservation laws and symplectic geometry

Abstract

ASJC Scopus subject areas

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