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Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics

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Abstract.

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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, 100081, Beijing, China

    Hui Gao, Tianzhou Xu & Gangwei Wang

  2. School of Physics, Beijing Institute of Technology, 100081, Beijing, China

    Tianyou Fan

Authors
  1. Hui Gao
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  2. Tianzhou Xu
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  3. Tianyou Fan
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  4. Gangwei Wang
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Correspondence to Gangwei Wang.

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Gao, H., Xu, T., Fan, T. et al. Analytic study of solutions for the Born-Infeld equation in nonlinear electrodynamics. Eur. Phys. J. Plus 132, 139 (2017). https://doi.org/10.1140/epjp/i2017-11419-7

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  • DOI: https://doi.org/10.1140/epjp/i2017-11419-7

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