Euler-Poincaré formalism of KdV-Burgers and higher order nonlinear Schrödinger equations
The author derives the KdV-Burgers and higher-order nonlinear Schrödinger equations as an Euler-Poincaré flow on the joint space of Hill's and first-order differential operators on the circle. He also studies a quasi-Hamiltonian pair of involution equations one member of which is the KdV-Burgers equation.
scientific article; zbMATH DE number 1979644