A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.
Yinshan YUN;Chaolu TEMUER
. Classical and nonclassical symmetry classifications of nonlinear wave equation with dissipation[J]. Applied Mathematics and Mechanics, 2015
, 36(3)
: 365
-378
.
DOI: 10.1007/s10483-015-1910-6
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