Application of the composite variational principle to shallow water equations

Emrullah Yasar; Teoman Ozer

doi:10.1007/978-90-481-9884-9_8

Application of the composite variational principle to shallow water equations

Emrullah Yasar^*, Teoman Ozer

^*Corresponding author for this work

Department of Civil Engineering

Uludag University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this study, we derive new local conservation laws of the one-layer shallow water equations in the plane flow which are belong to the family of evolution type equations by the composite variational principle of view in the development of the study (N.H. Ibragimov, A new conservation theorem. J. Math. Anal. Appl. 333:311-328, 2007).

Original language	English
Title of host publication	Nonlinear Science and Complexity
Publisher	Springer Netherlands
Pages	73-78
Number of pages	6
ISBN (Print)	9789048198832
DOIs	https://doi.org/10.1007/978-90-481-9884-9_8
Publication status	Published - 2011

Keywords

Adjoint equation
Conservation laws
Shallow water equations
Symmetries

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10.1007/978-90-481-9884-9_8

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abstract = "In this study, we derive new local conservation laws of the one-layer shallow water equations in the plane flow which are belong to the family of evolution type equations by the composite variational principle of view in the development of the study (N.H. Ibragimov, A new conservation theorem. J. Math. Anal. Appl. 333:311-328, 2007).",

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AU - Ozer, Teoman

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AB - In this study, we derive new local conservation laws of the one-layer shallow water equations in the plane flow which are belong to the family of evolution type equations by the composite variational principle of view in the development of the study (N.H. Ibragimov, A new conservation theorem. J. Math. Anal. Appl. 333:311-328, 2007).

KW - Adjoint equation

KW - Conservation laws

KW - Shallow water equations

KW - Symmetries

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U2 - 10.1007/978-90-481-9884-9_8

DO - 10.1007/978-90-481-9884-9_8

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SN - 9789048198832

SP - 73

EP - 78

BT - Nonlinear Science and Complexity

PB - Springer Netherlands

ER -

Application of the composite variational principle to shallow water equations

Abstract

Keywords

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