paper

Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations

arXiv:1607.03484 · doi:10.1016/j.physleta.2017.03.042

Abstract

We prove the existence of an infinite number of internal (shape) modes of sine-Gordon solitons in the presence of some inhomogeneous long-range forces, provided some conditions are satisfied.

10 pages