Home > ASTRODYNAMICS > Vol. 4 (2020) > Iss. 1

Article Title
Orbital dynamics satisfying the 4th-order stationary extended Fisher–Kolmogorov equation
Keywords
nonlocal-in-time kinetic energy, 4th-order differential equations, quantization, complex-shift method
Abstract
In this study, we discuss the central force problem by using the nonlocal-in-time kineticenergy approach. At low length scales, the system is dominated by the generalized 4th-orderextended Fisher–Kolmogorov stationary equation and by the 4th-order stationary Swift–Hohenberg differential equation under explicit conditions. The energy is a conserved quantityalong orbits of the extended Fisher–Kolmogorov stationary equation. The system is quantized,the system is stable, and the ground energy problem is solved.
Publisher
Tsinghua University Press
Recommended Citation
Rami Ahmad El-Nabulsi,Orbital dynamics satisfying the 4th-order stationary extended Fisher-Kolmogorov equation.Astrodyn.2020, 4(1): 31–39.