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We theoretically show the existence of cascaded second-order surface plasmonsolitons propagating at the interface between metal and linear dielectric.Nonlocal multipole nonlinearities originating from free conduction electronplasma of a metal lead to strong interaction between co-propagating surfaceplasmon polariton beams at fundamental and second harmonic frequencies. Finiteelement numerical modelling for effective two-dimensional medium explicitlydemonstrates the solitons formation, confirming the theoretical results. Thenon-diffractive regime of propagation has been demonstrated at silica/silverinterface for 5{\lambda} wide surface plasmon polariton beams with theloss-limited propagation distance of the order of 100 um for the 750/1550 nmwavelengths pair. Plasmon-soliton formation in the phasematched conditions hasbeen shown to be beneficial for nondiffractive surface plasmon polaritonpropagation.

Cascaded Second-order Surface Plasmon Solitons due to Intrinsic Metal Nonlinearity