4.7 Article

Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrodinger equation

期刊

NONLINEAR DYNAMICS
卷 81, 期 1-2, 页码 939-948

出版社

SPRINGER
DOI: 10.1007/s11071-015-2042-0

关键词

Variational symmetries; Fractional actionlike variational approach; Fractional Galilean transformation; Modified Schrodinger equation

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We develop the fractional variational symmetries of a Lagrangian for dynamical systems with finite number degrees of freedom. Our approach is based on the fractional actionlike variational approach where we report the Lagrangian formalism where constants of motion are obtained. It was observed that a fractional version of the Galilean transformation may be derived which when applied to the Schrodinger equation revealed some interesting consequences.

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