Interaction between sine-Gordon breathers

Journal Article · Wed Aug 01 00:00:00 EDT 2001 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.64.026613· OSTI ID:40277020

Kevrekidis, P G; Saxena, A; Bishop, A R

Using the exact breather lattice solution of the sine-Gordon equation, we obtain the asymptotic interaction between two breathers. We identify the exponential dependence of the interaction on the breather separation as well as its power-law dependence on the breather frequency. Numerical simulation of the breather lattice demonstrates its instability. However, stabilization of such structures is found to be feasible through ac driving and damping. Finally, other limits of the original periodic solution are traced, obtaining the leading-order terms in the interaction between ''pseudosphere'' solutions and kink-antikink pairs.

• Research Organization: Los Alamos National Laboratory
• Sponsoring Organization: (US)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 40277020
• Journal Information: Physical Review E, Vol. 64, Issue 2; Other Information: DOI: 10.1103/PhysRevE.64.026613; Othernumber: PLEEE8000064000002026613000001; 067108PRE; PBD: Aug 2001; ISSN 1063-651X
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DAMPING
INSTABILITY
SIMULATION
SINE-GORDON EQUATION
STABILIZATION