Theequationoftime-domainwavepropagationindispersivemediaandtheexplicitbeampropagationmethodarepresentedinthispaper.Thismethodisdemonstratedbytheshortopticalpulsesinadirectionalcouplerwithsecondorderdispersiveeffectandshowstobeinfullagreementwithformerreferences.Thismethodissimple,easyandpractical.