“…The second type of solution, called a breather, is a nontopological variety of soliton that is stationary (i.e., does not travel; Dodd et al, 1982;Drazin and Johnson, 1989;Kivshar et al, 1991). Sometimes, perturbation terms for dissipation and energy (current) input are added to the sine Gordon equation (Grønbech-Jensen et al, 1991;Holst et al, 1990;Malomed, 1989Malomed, , 1990Malomed and Nepomnyashchy, 1992;Olsen and Samuelsen, 1991;Pagano et al, 1991;Petras and Nordman, 1989;Ustinov et al, 1992). Phase locking can also occur, in which the fluxon motion in the long junction follows the frequency of the external field, or two such junctions can be phase locked to each other (Fernandez et al, 1990;Grønbech-Jensen, 1992;GronbechJensen et al, (1990); Pedersen and .…”