A Point Symmetry Group of a Differential Equation which cannot be Found Using Infinitesimal Methods

Author:

Reid G. J.,Weih D. T.,Wittkopf A. D.

Publisher

Springer Netherlands

Reference10 articles.

1. Bluman G. W. and Kumei S. (1989). Symmetries and Differential Equations (Springer-Verlag, New York).

2. Ovsiannikov L. V. (1982). Group Analysis of Differential Equations (Academic Press, New York).

3. Champagne B., Hereman W. and Winternitz P. (1991). The computer calculation of Lie point symmetries of large systems of differential equations. Comp. Phys. Comm. 66 319–340.

4. Mansfield E. (1991). Differential Gröbner Bases. Ph. D. Thesis (University of Sydney).

5. Carrà-Ferro G. (1987). Gröbner Bases and Differential Algebra. Lec. Notes in Comp. Sci. 356 128–140.

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1. How to calculate all point symmetries of linear and linearizable differential equations;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2015-03

2. Introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology;International Journal of Quantum Chemistry;2005

3. Discrete point symmetries of ordinary differential equations;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;1998-07-08

4. On Asymptotic Nonlocal Symmetry of Nonlinear Schrödinger Equations;Journal of Nonlinear Mathematical Physics;1998

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