Indian Journal of Science and Technology

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Conservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations


Affiliations
1 School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran, Islamic Republic of
 

In the present paper, conservation laws of the tri-Hamiltonain system of equations Whitham-Broer-Kaup (WBK) are investigated by applying the first homotopy formula. Hamiltonian symmetries of the system are constructed by using the corresponding Hamiltonian operators and the conserved densities.

Keywords

Equations Whitham-Broer-Kaup, Conservation Laws, Hamiltonian Symmetry.
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  • Conservation Laws and Hamiltonian Symmetries of Whitham-Broer-Kaup Equations

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Authors

Mehdi Nadjafikhah
School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran, Islamic Republic of
Parastoo Kabi-Nejad
School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran, Islamic Republic of

Abstract


In the present paper, conservation laws of the tri-Hamiltonain system of equations Whitham-Broer-Kaup (WBK) are investigated by applying the first homotopy formula. Hamiltonian symmetries of the system are constructed by using the corresponding Hamiltonian operators and the conserved densities.

Keywords


Equations Whitham-Broer-Kaup, Conservation Laws, Hamiltonian Symmetry.



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i2%2F67361