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- Title
General Parametric Solution of the Panlevé-Ince Nonlinear ODE and of Some Relative Equations in Mathematical Physics.
- Authors
Panayotounakos, D. E.; Zarmpoutis, Th. I.; Kostogiannis, G.
- Abstract
In this paper, we prove that the modified Painlevé- Ince (PI) equation, the force-free Duffing nonlinear type oscillator (DO) and the Lotka-Volterra (LV) nonlinear ordinary differential equation ODEs can be solved in general parametric form. The developed mathematical methodology and the extracted results, being expressed by way of new theorems including admissible functional transformations and substitutions, generalize the corresponding ones given by V. K. Chandrasekar, M. Senthilvelan, and M. Lakshmanan.
- Subjects
PAINLEVE equations -- Numerical solutions; NONLINEAR differential equations; MATHEMATICAL physics; DUFFING oscillators; LOTKA-Volterra equations; MATHEMATICAL transformations
- Publication
IAENG International Journal of Applied Mathematics, 2012, Vol 42, Issue 3, p155
- ISSN
1992-9978
- Publication type
Article