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Averaged pulse profiles of three nearby pulsars: B1929+10, J0437-4715 andB0950+08 exhibit unusual `double notches'. These W-like looking featuresconsist of two adjacent V-shaped dips that approach each other at increasingobservation frequency nuobs roughly at a rate sep \propto nuobs^{-1/2}, wheresep is the separation between the notches' minima. We show that basicproperties of the notches, namely their W-like look and the rate of theirconverging can be understood within a narrow class of models of coherent radioemission from pulsars: the free electron maser models based on coherent inverseCompton scattering of parallel oscillations of ambient electric field. Theobserved properties of the pulsars imply that the Fourier spectrum of thewiggler-like oscillations is narrow and that the broad-band character of theradio emission reflects the width of the electron energy distribution. Such amodel provides a natural explanation for the frequency-independent separationbetween the main pulse and interpulse of B0950+08 as well as for the lack ofradius to frequency mapping in the conal-like emission of J0437-4715. Thefrequency behaviour of the main pulse in the profile of the first radiomagnetar XTE J1810-197 can also be explained within this model.Comment: 15 pages, 10 figures, accepted by A&A after minor change

A model for double notches and bifurcated components in radio profiles of pulsars and magnetars