New integrability case for the Riccati equation

DOI10.1016/j.amc.2012.04.058zbMath1282.34018arXiv1204.6546OpenAlexW2962793115MaRDI QIDQ387467

Tiberiu Harko, Man Kwong Mak

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6546

zbMATH Keywords

integrability conditionRiccati equationapplications in mechanics

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (9)

Isotropic compact stellar model in Rastall's gravitational theory ⋮ On analytical solutions of a two-phase mass flow model ⋮ Generalized Riccati Wick differential equation and applications ⋮ New further integrability cases for the Riccati equation ⋮ Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator ⋮ Damped equations of Mathieu type ⋮ On the integrability of the Abel and of the extended Liénard equations ⋮ Generalized Bernoulli Wick differential equation ⋮ A Riccati equation based approach to isotropic scalar field cosmologies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvature phase transition in \(\mathbb{R}^ 2\) quantum gravity and induction of Einstein gravity
• Newton’s laws of motion in the form of a Riccati equation
• A new case of integrability of the general Riccati equation and its application to relaxation problems
• One-Parameter Darboux-Transformed Quantum Actions in Thermodynamics
• INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT
• Anomalous diffusion and stochastic localization of damped quantum particles

This page was built for publication: New integrability case for the Riccati equation