Summary
We obtain the general solution of the nonlinear Clemmow differential equation in a cold, collisionless, relativistic, two-component plasma without ambient magnetostatic field. This solution is obtained by means of an Abelian integral and a function depending on the reduced velocity of the relativistic particle, involving a logarithmic term.
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Blandin, J., Pons, B., Skinazi, J. et al. General solution of the clemmow differential equation in a relativistic cold plasma. Lett. Nuovo Cimento 36, 120–124 (1983). https://doi.org/10.1007/BF02749654
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DOI: https://doi.org/10.1007/BF02749654