Lax Pair and new exact solutions of the nonlinear Dirac equation

2018 ◽  
Vol 61 ◽  
pp. 167-179 ◽  
Author(s):  
Y.H. Sabbah ◽  
U. Al Khawaja ◽  
P.S. Vinayagam
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Lax Pair ◽  
Nonlinear Dirac Equation ◽  
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
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