Variational derivation of two-component Camassa–Holm shallow water system
Variational derivation of two-component Camassa–Holm shallow water system
Abstract 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 …