UBC Faculty Research and Publications

Some Approaches to the Calculation of Conservation Laws for a Telegraph System and Their Comparisons Buhe, Eerdun; Bluman, G.W.; Alatancang, Chen; Yulan, Hu


This paper applies the direct construction method, symmetry/adjoint symmetry pair method (SA method), symmetry action on a known conservation law method, Ibragimov’s conservation theorem (which always yields the same results as the SA method) and a recursion formula to calculate several conservation laws for nonlinear telegraph systems. In addition, a comparison is made between these methods for conservation laws admitted by nonlinear telegraph systems.

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