Energy momentum tensor of scalar field with higher order derivatives

Abstract

Abstract We considered a formulation of the energy momentum tensor of scalar field containing higher-order derivatives. Starting from the Lagrangian density, we can formulate the Hamiltonian density as well as the three-component momentum density by applying the total variation on the field. We claimed that this formulation can be used to derive some nonlinear wave equation, such as the KdV equation and the Burgers equation.