Comparing symmetries and conservation laws of nonlinear telegraph equations

Abstract

A comparison is made between the symmetries and conservation laws admitted by nonlinear telegraph (NLT) systems. Such systems are not variational. Unlike the situation for variational systems where all conservation laws arise from symmetries, there are many NLT systems that admit more conservation laws than symmetries. The results are summarized in a table which includes the numbers of symmetries and conservation laws for each NLT system. It is also indicated when symmetries map conservation laws to other conservation laws.