EXTERNALLY DRIVEN NONLINEAR OSCILLATOR, PAINLEVE TEST, 1ST INTEGRALS AND LIE SYMMETRIES

Authors
STEEB WH EULER N
Citation
Wh. Steeb et N. Euler, EXTERNALLY DRIVEN NONLINEAR OSCILLATOR, PAINLEVE TEST, 1ST INTEGRALS AND LIE SYMMETRIES, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 48(8-9), 1993, pp. 943-944
Citations number
5
Categorie Soggetti
Chemistry Physical",Physics
Journal title
Zeitschrift fur Naturforschung. A, A journal of physical sciences → ACNP
ISSN journal
09320784
Volume
48
Issue
8-9
Year of publication
1993
Pages
943 - 944
Database
ISI
SICI code
0932-0784(1993)48:8-9<943:EDNOPT>2.0.ZU;2-0
Abstract
For arbitrary constants c1, c2 and an arbitrary smooth functions f the driven anharmonic oscillator d2u/dt2 + c1 du/dt + c2u + u3 = f(t) can not be solved in closed form. We apply the Painleve test to obtain the constraint on the constants c1, c2 and the function f for which the e quation passes the test. We also give the Lie symmetry vector field an d first integrals for this equation.