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Symmetry analysis and invariant solutions of generalized coupled Zakharov-Kuznetsov equations using optimal system of Lie subalgebra

International Journal of Mathematics and Computer in Engineering
Volume 2 (2024): Issue 2 (December 2024)
By:
Open Access
|Jan 2024

Figures & Tables

Fig. 1

Structural dynamics of (1) by (42) when all parameters are set to 1 and at t = 1,2,3.
Structural dynamics of (1) by (42) when all parameters are set to 1 and at t = 1,2,3.

Fig. 2

Structural dynamics of (1) by (44) when all parameters are set to 1 and at t = 1,2,3.
Structural dynamics of (1) by (44) when all parameters are set to 1 and at t = 1,2,3.

Fig. 3

Structural dynamics of (1) by (52) when all parameters are set to 1 and at t = 1,2,3.
Structural dynamics of (1) by (52) when all parameters are set to 1 and at t = 1,2,3.

Fig. 4

Structural dynamics of (1) by (54) when all parameters are set to 1 and at t = 1,2,3.
Structural dynamics of (1) by (54) when all parameters are set to 1 and at t = 1,2,3.

Fig. 5

Periodic dynamics of (1) by (56) when all parameters are set to 1 and at t = 1,2,3.
Periodic dynamics of (1) by (56) when all parameters are set to 1 and at t = 1,2,3.

Fig. 6

Periodic dynamics of (1) by (56) when all parameters are set to 1 and at t = 1,2,3.
Periodic dynamics of (1) by (56) when all parameters are set to 1 and at t = 1,2,3.

Fig. 7

Structural dynamics of (1) by (66) when all parameters are set to 1 and at t = 1,2,3.
Structural dynamics of (1) by (66) when all parameters are set to 1 and at t = 1,2,3.

Fig. 8

Structural dynamics of (1) by (66) when all parameters are set to 1 and at aα5 = −1, t = 1,2,3.
Structural dynamics of (1) by (66) when all parameters are set to 1 and at aα5 = −1, t = 1,2,3.

Adjoint table_

[Qi,Qj]Q1Q2Q3Q4
Q1Q1Q2Q3Q4 − ɛQ2
Q2Q1Q2Q3Q4
Q3Q1Q2Q3Q4
Q4Q1 + ɛQ2Q2Q3Q4

Commutator table_

[Qi,Qj]Q1Q2Q3Q4
Q1000Q2
Q20000
Q30000
Q4−Q2000
DOI: https://doi.org/10.2478/ijmce-2024-0015 | Journal eISSN: 2956-7068
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Language: English
Page range: 193 - 210
Submitted on: Aug 18, 2023
Accepted on: Nov 13, 2023
Published on: Jan 10, 2024
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Classical Lie symmetry method,
CZK equations,
sub-algebra,
optimal system,
Mathematica simulations
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Introductions and overviews,
Engineering, other,
Mathematics,
General mathematics,
Physics,
Physics, other

© 2024 Muhammad Usman, Akhtar Hussain, Fiazuddin Zaman, Naseem Abbas, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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