Three types of nonlinear electromagnetic field equations are considered, corresponding to three types of nonlinear terms: a field function of arbitrary degree, the derivative of a function of arbitrary degree, and a mixed term in a function and derivative. For each equation three types of solution are considered, corresponding to three types of argument, reducing the nonlinear partial differential equation to a nonlinear ordinary differential equation. The possibility of these equations having particle-like solution is examined. Only an equation whose nonlinearity is in the function can have a particle-like solution.
Department of Theoretical Physics
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