Dirac equation in external vector fields: New exact solutions

1989 ◽  
Vol 30 (10) ◽  
pp. 2373-2381 ◽  
Author(s):  
German V. Shishkin ◽  
Victor M. Villalba
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Vector Fields ◽  
New Exact Solutions

New exact solutions of the Dirac equation

1970 ◽  
Vol 48 (16) ◽  
pp. 1935-1937 ◽  
Author(s):  
Lui Lam
Keyword(s):  
Dirac Equation ◽  
Magnetic Fields ◽  
Exact Solutions ◽  
New Exact Solutions ◽  
Electric And Magnetic Fields ◽  
Dirac Electron ◽  
Klein Gordon ◽  
Special Case

Exact solutions of a Dirac electron in constant crossed electric and magnetic fields are found and given explicitly. The case of Klein–Gordon particles is shown to be a special case of ours.

New exact solutions of the dirac equation. XII

1985 ◽  
Vol 28 (1) ◽  
pp. 70-74
Author(s):  
V. G. Bagrov ◽  
M. D. Noskov ◽  
V. N. Shapovalov
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Exact Solutions

New exact solutions of the Dirac equation

2001 ◽  
Vol 287 (5-6) ◽  
pp. 321-324 ◽  
Author(s):  
S.K. Bose ◽  
A. Schulze-Halberg ◽  
M. Singh
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Exact Solutions

New exact solutions of the Dirac equation. IX

1978 ◽  
Vol 21 (3) ◽  
pp. 304-307
Author(s):  
V. G. Bagrov ◽  
D. M. Gitman ◽  
V. N. Zadorozhnyi ◽  
A. V. Shapovalov ◽  
V. N. Shapovalov
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Exact Solutions

New exact solutions of the Dirac equation. VII

1977 ◽  
Vol 20 (7) ◽  
pp. 871-876
Author(s):  
V. G. Bagrov ◽  
D. M. Gitman ◽  
N. B. Sukhomlin ◽  
A. V. Shapovalov ◽  
V. N. Shapovalov
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Exact Solutions

New exact solutions of the Dirac equation. IV

1975 ◽  
Vol 18 (8) ◽  
pp. 1123-1127
Author(s):  
V. G. Bagrov ◽  
D. M. Gitman ◽  
A. G. Meshkov ◽  
V. I. Simanchuk ◽  
N. I. Fedosov ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Exact Solutions

scholarly journals Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 601 ◽  
Author(s):  
Changzhao Li ◽  
Juan Zhang
Keyword(s):  
Exact Solutions ◽  
Vector Fields ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Point Symmetries ◽  
Lie Symmetry Analysis ◽  
Symmetry Reductions ◽  
New Exact Solutions ◽  
Symmetry Properties

This paper considers the Lie symmetry analysis of a class of fractional Zakharov-Kuznetsov equations. We systematically show the procedure to obtain the Lie point symmetries for the equation. Accordingly, we study the vector fields of this equation. Meantime, the symmetry reductions of this equation are performed. Finally, by employing the obtained symmetry properties, we can get some new exact solutions to this fractional Zakharov-Kuznetsov equation.

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