Far East Journal of Dynamical Systems
Volume 10, Issue 3, Pages 389 - 397
(October 2008)
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APPLICATION OF NONCLASSICAL SYMMETRY ANALYSIS TO ORDINARY DIFFERENTIAL EQUATION
Souichi Murata (Japan)
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Abstract: We demonstrate an application of a nonclassical
symmetry analysis to
ordinary differential equations (ODEs). Our method does not request solving the
determining equations for a nonclassical symmetry and enables us to separate an
(n + 1) th-order ODE into a first-order ODE and an nth-order
differential equation. Moreover, our method comprehends the variable separated
ODE method and the factorization method. In this paper, the application of our
method to nonlinear ODEs is elucidated with the aid of two examples from
mathematical physics. |
Keywords and phrases: nonclassical symmetry, ordinary differential equation. |
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