Abstract
Transformation of nonlinear plasma equations to a space-independent frame with the help of the Lorentz transformation gives in place of partial differential equations a set of ordinary differential equations in a single independent variable for solution of nonlinear field equations. In this paper, this transformation has been used to yield the nonlinear precessional rotation of electromagnetic waves in plasmas in addition to the nonlinear shift in a wave parameter. Moreover, the Lagrangian and Hamiltonian of motion for a circularly polarised wave have been transformed to the space-independent frame and the equations of Akhiezer and Polovin (1956) for nonlinear plasma oscillations have been rectified by making them relativistically correct.
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