Like all highly social mammals elephants have a well-developed system of communication that makes use of all of their senses - hearing, smell, vision and touch - including an exceptional ability to detect vibrations.
Acoustic communication takes a look at sound production and hearing in elephants; chemical communication explains how elephants use various secretions and their acute sense of smell to communicate; visual communication looks at how elephants make use of postures and displays and their sense of sight in communication; tactile communication describes how elephants make use of their sense of touch to communicate.
At one end of the spectrum elephants communicate by rubbing their bodies against one another, at the other end they may respond by moving toward the sounds of other elephants calling, perhaps 10 kilometers away. They convey information about their physiological (e.g. sexual/hormonal, body condition, identity) and emotional state (e.g. whether they are fearful, playful, joyful, angry, excited) as well as communicating specific "statements" about their intentions or desires. In this section we look at how elephants use the different pathways of communication and the actual mechanics of communicating.
You will in the fully searchable database The Elephant Ethogram: A Library of African Elephant Behavior find close to 300 fully described elephant sounds with spectrograms, together with 2,400 educational video clips showing categorized elephant behaviors and behavior constellations and hundreds of images. The below slideshow take you through a limited number of the over 500 Behaviors and Behavioral Constellations included in The Elephant Ethogram - click on any image to find further documentation.