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 Variational derivation of two-component Camassa-Holm shallow water system


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By a variational approach in the Lagrangian formalism, we derive the nonlinear integrable two-component Camassa-Holm system 1. We show that the two-component Camassa-Holm system 1 with the plus sign arises as an approximation to the Euler equations of hydrodynamics for propagation of irrotational shallow water waves over a flat bed. The Lagrangian used in the variational derivation is not a metric.



Author: Delia Ionescu-Kruse

Source: https://archive.org/



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