The propagation and switching of short optical pulses in a three-core nonli
near fiber coupler have been investigated with a variation method within th
e framework of the Lagrangian density formulation. The analytical solutions
were directly obtained from the coupled nonlinear Schrodinger equations. I
t is shown that the soliton switching behavior predicted by the present ana
lytical method agrees well with the results from numerical analysis. In add
ition,the coupling length and the switching threshold of solitons in a nonl
inear coupler were obtained.