Klein-Gordon Equation
المؤلف:
Matsumo, Y
المصدر:
"Exact Solution for the Nonlinear Klein-Gordon and Liouville Equations in Four-Dimensional Euclidean Space." J. Math. Phys. 28
الجزء والصفحة:
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21-7-2018
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Klein-Gordon Equation
The partial differential equation
 |
(1)
|
that arises in mathematical physics.
The quasilinear Klein-Gordon equation is given by
 |
(2)
|
(Nayfeh 1973, p. 76; Zwillinger 1997, p. 133), and the nonlinear Klein-Gordon equation by
 |
(3)
|
(Matsumo 1987; Zwillinger 1997, p. 133).
REFERENCES:
Matsumo, Y. "Exact Solution for the Nonlinear Klein-Gordon and Liouville Equations in Four-Dimensional Euclidean Space." J. Math. Phys. 28, 2317-2322, 1987.
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 272, 1953.
Nayfeh, A. H. Perturbation Methods. New York: Wiley, 1973.
Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 129 and 133, 1997.
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