Exact solutions of the nonlinear Dirac equation in terms of Bessel, Gauss and Legendre functions and Chebyshev-Hermite polynomials

1990 ◽  
Vol 42 (4) ◽  
pp. 500-503 ◽  
Author(s):  
R. Z. Zhdanov ◽  
I. V. Revenko
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Hermite Polynomials ◽  
Legendre Functions ◽  
Nonlinear Dirac Equation

Reductions and exact solutions of a nonlinear Dirac equation

1987 ◽  
Vol 72 (1) ◽  
pp. 703-710
Author(s):  
V. I. Fushchich ◽  
V. M. Shtelen'
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Nonlinear Dirac Equation

scholarly journals On the nonlinear Dirac equation on noncompact metric graphs

2021 ◽  
Vol 278 ◽  
pp. 326-357
Author(s):  
William Borrelli ◽  
Raffaele Carlone ◽  
Lorenzo Tentarelli
Keyword(s):  
Dirac Equation ◽  
Metric Graphs ◽  
Nonlinear Dirac Equation

Exact solutions of Dirac equation

Pramana ◽  
1979 ◽  
Vol 12 (5) ◽  
pp. 475-480 ◽  
Author(s):  
S V Kulkarni ◽  
L K Sharma
Keyword(s):  
Dirac Equation ◽  
Exact Solutions

scholarly journals Solitary waves in the nonlinear Dirac equation in the presence of external driving forces

2016 ◽  
Vol 49 (6) ◽  
pp. 065402 ◽  
Author(s):  
Franz G Mertens ◽  
Fred Cooper ◽  
Niurka R Quintero ◽  
Sihong Shao ◽  
Avinash Khare ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Solitary Waves ◽  
Driving Forces ◽  
Nonlinear Dirac Equation ◽  
External Driving

Exact solutions of Dirac equation on a static curved space–time

2019 ◽  
Vol 401 ◽  
pp. 21-39 ◽  
Author(s):  
M.D. de Oliveira ◽  
Alexandre G.M. Schmidt
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
Space Time ◽  
Curved Space

New class of exact solutions of the Dirac equation

1975 ◽  
Vol 16 (10) ◽  
pp. 2089-2092 ◽  
Author(s):  
Franklin S. Felber ◽  
John H. Marburger
Keyword(s):  
Dirac Equation ◽  
Exact Solutions ◽  
New Class
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