Wobbling kinks in φ4 and sine-Gordon theory Journal Article

Overview

abstract

• When the φ4 model admits a kink solution, it also admits a wobbling kink, which satisfies the boundary conditions of a kink, but possesses an internal degree of freedom. In this paper we develop a formal perturbation series for the wobbling kink in φ4 theory, and give the first two terms in the series explicitly. Then we prove that the formal series actually is asymptotic for a rather long time [O(K ln(1/ε)) for a certain K]. Finally, we construct an exact 3-soliton solution of the sine-Gordon equation that also has the properties of a wobbling kink. For the sine-Gordon equation, the wobbling kink seems to be mildly unstable.

CU Boulder Authors

• Segur, Harvey

publication date

• June 1, 1983

has restriction

• closed

Date in CU Experts

• September 17, 2013 8:22 AM

Full Author List

• Segur H

author count

• 1

published in

• Journal of Mathematical Physics 

Other Profiles

International Standard Serial Number (ISSN)

• 0022-2488

Electronic International Standard Serial Number (EISSN)

• 1089-7658

Digital Object Identifier (DOI)

• https://doi.org/10.1063/1.525867

Additional Document Info

start page

• 1439

end page

• 1443

volume

• 24

issue

• 6