Derivation of the system of generalized Riccati equations from the system of evolution equations
DOI10.1142/S1793557117500814zbMath1386.30005MaRDI QIDQ4595160
Publication date: 28 November 2017
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
evolution equationcharacteristic polynomialcompanion matrixgeneralized trigonometric functionsRiccati-Abel equationgeneral complex algebra
Nonlinear ordinary differential equations and systems (34A34) Polynomials and rational functions of one complex variable (30C10) Nonlinear evolution equations (47J35) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Matrix exponential and similar functions of matrices (15A16) Systems of nonlinear first-order PDEs (35F50) Trigonometric solutions to PDEs (35C09)
Cites Work
- Unnamed Item
- Unnamed Item
- Integrable dissipative nonlinear second order differential equations via factorizations and Abel equations
- On the integrable rational Abel differential equations
- Abel differential equations admitting a certain first integral
- Abel ODEs: Equivalence and integrable classes
- Complex-type numbers and generalizations of the Euler identity
- Representation of solutions of \(n\)-order Riccati equation via generalized trigonometric functions
- Solutions of Riccati-Abel equation in terms of third order trigonometric functions
- Complex algebras on \(n\)-order polynomials and generalizations of trigonometry, oscillator model and Hamilton dynamics
- Multicomplex algebras on polynomials and generalized Hamilton dynamics
- Riccati differential equations
- Integrable Abel equations and Vein's Abel equation
- An Abel ordinary differential equation class generalizing known integrable classes
- Group of Transformations with Respect to the Counterpart of Rapidity and Related Field Equations
- Lie Algebraic Solution of Linear Differential Equations
- Functions Which Satisfy Abel’s Differential Equation
- On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
This page was built for publication: Derivation of the system of generalized Riccati equations from the system of evolution equations