We consider compression of higher-order solitons in asymmetric and sym
metric dual-core fibers (couplers) by means of numerical simulations o
f the corresponding coupled nonlinear Schrodinger equations. We demons
trate that an asymmetric coupler with different dispersion coefficient
s in its two cores provides almost the same degree of compression for
the soliton tunneling from the core with a larger dispersion into the
one with a smaller dispersion as the single-core fiber with the same j
ump of the dispersion coefficients, The pedestal around the compressed
soliton is smaller when using the coupler; however, the necessary com
pression length is larger for the coupler than for the single-core fib
er. An advantage of using the coupler is that it allows one to avoid a
junction between two pieces of the fiber with different dispersions,
which is inevitable if one uses the single-core fiber. Next, we consid
er compression of a higher-order soliton in a symmetric coupler. We de
monstrate that, using the so-called soliton effect, one can achieve a
record compression ratio (approximately 20), which is larger than that
for any other known soliton compressor, with a very small share of th
e total energy in the pedestal. The corresponding compression length i
s still larger than for the single-core fiber, but the compression qua
lity is much better. Lastly, the symmetric coupler allows, in some cas
es, to split the incoming pulse into two nearly identical compressed p
ulses outcoming from the two cores.