String Equation From Field Equation

TL;DR

This paper demonstrates how the string equation can be derived from field equations, specifically for scalar fields, leading to a nonlinear elastic string model with curvature-dependent elasticity.

Contribution

It introduces a method to derive the string equation from field equations for scalar fields, connecting field theory with nonlinear string dynamics.

Findings

Derived nonlinear string equation from scalar field equations

Described the nonrelativistic limit as a nonlinear elastic string

Provided examples of nonlinear elastic string movements

Abstract

It is shown that the string equation can be obtain from field equations. Such work is performed to scalar field. The equation obtained in nonrelativistic limit describes the nonlinear string. Such string has the effective elasticity connencted with the local string curvature. Some examples of the movement such nonlinear elastic string are considered.