Power Series Solution of Time-Fractional Majda-Biello System Using Lie Group Analysis

2018 ◽  
Author(s):  
Hemant Mandal ◽  
Bibekananda Bira ◽  
Dia Zeidan
Keyword(s):  
Power Series ◽  
Lie Group ◽  
Series Solution ◽  
Group Analysis ◽  
Power Series Solution ◽  
Lie Group Analysis

Lie group analysis and invariant solutions of (3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

2020 ◽  
Vol 34 (11) ◽  
pp. 2050106
Author(s):  
Hengchun Hu ◽  
Yihui Lu
Keyword(s):  
Power Series ◽  
Riccati Equation ◽  
Lie Group ◽  
Boussinesq Equation ◽  
Group Analysis ◽  
Power Series Expansion ◽  
Explicit Solutions ◽  
Lie Group Analysis ◽  
Invariant Solutions ◽  
Analysis Method

We study the (3[Formula: see text]+[Formula: see text]1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation by using the Lie group analysis method. The reduction equations are given out by selecting different constants and new explicit solutions are also presented by the Riccati equation expansion and the power series expansion.

Optimal algebra and power series solution of fractional Black-Scholes pricing model

2021 ◽  
Vol 25 (8) ◽  
pp. 6075-6082
Author(s):  
Hemanta Mandal ◽  
B. Bira ◽  
D. Zeidan
Keyword(s):  
Power Series ◽  
Series Solution ◽  
Power Series Solution ◽  
Pricing Model ◽  
Black Scholes

Lie group analysis of the point-reactor neutron kinetics equations for various reactivity models

2021 ◽  
Vol 160 ◽  
pp. 108366
Author(s):  
Patrick F. O’Rourke ◽  
Scott D. Ramsey ◽  
Brian A. Temple
Keyword(s):  
Lie Group ◽  
Group Analysis ◽  
Reactor Neutron ◽  
Lie Group Analysis ◽  
Neutron Kinetics
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