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Abstract : |
The nonlinear wave equation with variable long wave velocity and the Gordon-type equations (in particular, the phi 4-model equation) display a range of symmetry generators, inter alia, translations, Lorentz rotations and scaling - all of which are related to conservation laws. We do a study of the symmetries of a large class with a view to reduction and solution of these equations which has been analysed, to some extent, using other techniques giving rise to a different class of solutions., |
