Article

Stable three-dimensional small-amplitude solitons in magnetic materials

B. A. IvanovPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR , Khar’kovA. M. KosevichPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR , Khar’kov

Soviet Journal of Low Temperature Physicsjournal1983en

ABI

Abstract

We investigate three-dimensional centrosymmetric soliton solutions of an equation of the nonlinear Schrödinger type, but which, unlike the standard situation, contains fourth (rather than second) derivatives with respect to the coordinates. An equation of this type affords a macroscopic description of quasiparticles whose effective mass becomes infinite. We show that, unlike the standard situation, three-dimensional small-amplitude solitons representing bound states of a large number of quasiparticles can exist in such a system. The energy associated with one quasiparticles in the bound state is smaller than the energy of a continuous-spectrum quasiparticle, evincing stability of the soliton.

Topics

Nonlinear Waves and Solitons Nonlinear Photonic Systems Dust and Plasma Wave Phenomena

Identifiers

DOI: 10.1063/10.0030965

Citations and references

Cited by 03 references

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