Abstract
The paper is devoted to the construction of an ansatz for the first derivatives of an unknown function which reduces a scalar partial differential equation with three independent variables to a system of equations by using the operators of classical point symmetry. The method is applied to nonlinear wave equation with cubic nonlinearity, Liouville equation and Kadomtsev– Petviashvili equation.
Mathematics Subject Classification (2010). 76M60, 35G20.
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Zonenberg, J., Tsyfra, I. (2014). On New Reduction of Nonlinear Wave Type Equations via Classical Symmetry Method. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_18
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DOI: https://doi.org/10.1007/978-3-319-06248-8_18
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
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