Orbital Precession of Solitons in Nonlinear Thermal Medium with Regular Heptagonal Geometry

Abstract

We study the propagation dynamics of spatial soliton in nonlinear thermal medium with regular heptagonal geometry. When launched with an initial velocity, under the action of the force and torque applied by the medium boundaries, the soliton begins to orbit clockwise around the medium center periodically, meanwhile its orbit precesses anti-clockwise. The period of the soliton’s orbital motion is determined by the launching speed of the soliton, while the precession speed of the soliton’s orbit is closely related to both of the launching speed and launching direction of the soliton.