Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics
School of Mathematics and Statistics, Beijing Institute of Technology, 100081, Beijing, China
2 School of Physics, Beijing Institute of Technology, 100081, Beijing, China
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Accepted: 21 February 2017
Published online: 22 March 2017
The Born-Infeld equation is an important nonlinear partial differential equation in theoretical and mathematical physics. The Lie group method is used for simplifying the nonlinear partial differential equation, which is partly solved, in which there are some difficulties; to overcome the difficulties, we develop a power series method, and find the solutions in analytic form. In the mean time, a wave propagation (traveling wave) method is developed for solving the equation, and analytic solutions are also constructed.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017