Time-Independent Schrödinger and Riccati Equations

2018 ◽  
pp. 69-83
Author(s):  
Dieter Schuch
Keyword(s):  
Riccati Equations

Perturbation Analysis of the Continuous and Discrete Matrix Riccati Equations

1986 ◽  
Author(s):  
M.M. Konstantinov ◽  
P.Hr. Petkov ◽  
N.D. Christov
Keyword(s):  
Perturbation Analysis ◽  
Riccati Equations

scholarly journals On the relations between some well-known methods and the projective Riccati equations

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 613-618
Author(s):  
Şamil Akçağıl
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Riccati Equations ◽  
Nonlinear Evolution Equations ◽  
Alternative Methods ◽  
Computational Techniques ◽  
Partial Differential ◽  
Traditional Methods

AbstractSolving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for determining analytical solutions for partial differential equations has not been found among traditional methods. Due to the development of symbolic computational techniques many alternative methods, such as hyperbolic tangent function methods, have been introduced in the last 50 years. Although all of them were introduced as a new method, some of them are similar to each other. In this study, we examine the following four important methods intensively used in the literature: the tanh–coth method, the modified Kudryashov method, the F-expansion method and the generalized Riccati equation mapping method. The similarities of these methods attracted our attention, and we give a link between the methods and a system of projective Riccati equations. It is possible to derive new solution methods for nonlinear evolution equations by using this connection.

scholarly journals Multiscale Differential Riccati Equations for Linear Quadratic Regulator Problems

2018 ◽  
Vol 40 (4) ◽  
pp. A2406-A2426 ◽  
Author(s):  
Axel Målqvist ◽  
Anna Persson ◽  
Tony Stillfjord
Keyword(s):  
Linear Quadratic Regulator ◽  
Riccati Equations ◽  
Linear Quadratic ◽  
Differential Riccati Equations
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