Wave-particle duality of solitons and solitonic analog of the Ramsauer-Townsend effect

We show that the scaling symmetry breaking in soliton scattering reveals the hidden role of the soliton self-interaction (binding) energy and its dramatic impact on the wave-particle duality of solitons. Solitonic analog of the de Broglie wavelength and phenomenon similar to the Ramsauer-Taunsend effect can be discovered for Schrodinger solitons.