Classical string field mechanics with non-standard Lagrangians

Abstract We reformulate the string classical mechanics by substituting the standard Lagrangian by a non-standard exponential Lagrangian where higher-order derivative terms occur naturally in the equations of motion. Our motivation is based on the accumulating evidence that higher-order derivatives play a leading role in string field theories. Since non-standard Lagrangians generate higher-order derivatives in a usual way, it will be of interest to explore their roles in classical string field mechanics. It was observed that replacing standard by non-standard Lagrangians gives another possibility to obtain new aspects which may have interesting physical effects.