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- W2536714846 abstract "Abstract Conservation laws and physical conserved quantities for the (1+1)D linearized Boussinesq equations at a constant water depth are presented. These equations describe incompressible, inviscid, irrotational fluid flow in the form of a non steady solitary wave. A systematic multiplier approach is used to obtain the conservation laws of the system of third order partial differential equations (PDEs) in dimensional form. Physical conserved quantities are derived by integrating the conservation laws in the direction of wave propagation and imposing decaying boundary conditions in the horizontal direction. One of these is a newly discovered conserved quantity which relates to an energy flux density." @default.
- W2536714846 created "2016-10-28" @default.
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- W2536714846 date "2017-05-01" @default.
- W2536714846 modified "2023-09-24" @default.
- W2536714846 title "Conservation laws and conserved quantities for (1+1)D linearized Boussinesq equations" @default.
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- W2536714846 doi "https://doi.org/10.1016/j.cnsns.2016.10.015" @default.
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