Local and nonlocal symmetries for nonlinear telegraph equation

GW Bluman, T Temuerchaolu… - Journal of mathematical …, 2005 - pubs.aip.org
In this paper, local and nonlocal symmetry classifications are considered for four equivalent
nonlinear telegraph equations. A complete potential symmetry classification of a scalar
nonlinear telegraph equation is given through the point symmetry classification of a related
potential system. Six new classes of equations are shown to admit potential symmetries. The
relationships between local (including contact) and nonlocal (potential) symmetries of these
equations are explored. A physical example is considered for possible applications of the …
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