The Bäcklund Transform and a New Exact Solution of the Born–Infeld Model
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We present the Lagrangian and Hamiltonian of the Born–Infeld model in Cartesian and light cone variables. Using the auto-Bäcklund transformation, we construct new solutions of the corresponding nonlinear equation. In particular, a “dressed” Barbashov–Chernikov solution is obtained. Bibliography: 18 titles.
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