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- W2005683336 abstract "This paper extends the ideas of Donev & Tashkova (1993) to a relativistic nonlinearization of the classical Maxwell theory in the continuous medium case. The field here is described by a 2-form on Minkowski space with values in a two-dimensional vector space V having F and * F as components. The vacuum equations are written in these terms. The reaction of the medium in the sense of energy-momentum exchange with the field is assumed to be described by two V -valued 1-forms Ф and ψ, and equations, considering how this exchange is performed, are written down. Any couple of the four components of Ф and ψ is assumed to define a completely integrable Pfaff system. Maxwell theory for continuous media is obtained as a special case. A large set of non-Maxwellian solutions, generated by any solution of the general (1 + 1) evolution equation V t = L [ V ] and two functions g ( x ) and h ( y ), is found. The (3 + l)-soliton-like solutions are briefly discussed." @default.
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- W2005683336 date "1995-08-08" @default.
- W2005683336 modified "2023-09-26" @default.
- W2005683336 title "Energy-momentum-directed nonlinearization of Maxwell’s equations in the case of a continuous media" @default.
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- W2005683336 doi "https://doi.org/10.1098/rspa.1995.0085" @default.
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