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One-dimensional equations with the maximum number of symmetry generators

1987; Institute of Physics; Volume: 20; Issue: 11 Linguagem: Inglês

10.1088/0305-4470/20/11/005

ISSN

1361-6447

Autores

L.G.S. Duarte, Sérgio Duarte, Isabel C. Moreira,

Tópico(s)

Nonlinear Waves and Solitons

Resumo

The authors employ a general space and time transformation to find a class of second-order differential equations with the maximum number (eight) of Lie symmetry generators. They apply this transformation to obtain the symmetry generators for the harmonic oscillator and for a non-linear equation, introduced by Leach (1985), starting from the symmetry generators of the free-particle equation.

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