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

Muhammad Usman

Muhammad Usman

College of Electrical and Mechanical Engineering, National University of Science and TechnologyIslamabad, Pakistan
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Usman, Muhammad
, 
Akhtar Hussain

Akhtar Hussain

Abdus Salam School of Mathematical Sciences, Government College UniversityLahore, Pakistan
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Hussain, Akhtar
, 
Fiazuddin Zaman

Fiazuddin Zaman

Abdus Salam School of Mathematical Sciences, Government College UniversityLahore, Pakistan
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Zaman, Fiazuddin
 e 
Naseem Abbas

Naseem Abbas

Department of Mathematics, Quaid-i-Azam UniversityIslamabad, Pakistan
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Abbas, Naseem
  
10 gen 2024
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Categoria dell'articolo: Original Study
Pubblicato online: 10 gen 2024
Pagine: 193 - 210
Ricevuto: 18 ago 2023
Accettato: 13 nov 2023
DOI: https://doi.org/10.2478/ijmce-2024-0015
Parole chiave
© 2024 Muhammad Usman et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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] Q1 Q2 Q3 Q4
Q1 Q1 Q2 Q3 Q4 − ɛQ2
Q2 Q1 Q2 Q3 Q4
Q3 Q1 Q2 Q3 Q4
Q4 Q1 + ɛQ2 Q2 Q3 Q4

Commutator table_

[Qi,Qj] Q1 Q2 Q3 Q4
Q1 0 0 0 Q2
Q2 0 0 0 0
Q3 0 0 0 0
Q4 −Q2 0 0 0
Lingua:
Inglese
Frequenza di pubblicazione:
2 volte all'anno
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Informatica, Informatica, altro, Ingegneria, Introduzioni e rassegna, Ingegneria, altro, Matematica, Matematica generale, Fisica, Fisica, altro
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