Bohr won the battle with Einstein over whether there was something real (Einstein's view) beneath the Quantum Equations, or whether it was all just probabilities (Bohr's view). However there have been many Physics Nobel winners who think that the waves are real including Einstein, Schroedinger and de Broglie.
Over the last few decades, some stubborn alternative thinkers have refused to go along with the mystical view of physics that says that things are incomprehensible. Rather, we look to ways to explain everything in physics from simple mechanical principles. Fundamental to achieving this is to comprehend what particles really are. The WSM (Wave Structure of Matter) view is that particles are spherical standing waves and nothing else. Wheeler and Feynman got close to this view with their advance and retarded waves for an electron but described one wave as running backwards in time. If they had made the final step of running it forwards in time, they would have seen that it is an in wave and the other an out wave. Together these make a standing wave.
The biggest issue that physicists seem to have with the WSM approach is that they do not understand how the in wave can arise. And yet the physical descriptions of standing waves in any musical instruments have exactly the same behaviors and no-one so much as blinks. And what are the benefits of the WSM approach? The de Broglie waves arise quite naturally as interference effects between the in and out waves. The wave-particle duality disappears - everything is waves.
Please see the CRI page on WSM for more details including some fascinating graphics and animations: http://www.cyclesresearchinstitute.org/wsm.html