* Downcutting: Erosion that deepens the river channel.
* Lateral erosion: Erosion that widens the river channel.
* Headward erosion: Erosion that extends the river upstream.
* Abrasion: Erosion caused by the grinding action of sediment carried by the river.
* Hydraulic action: Erosion caused by the force of water itself.
* Solution: Erosion caused by the dissolving of rock by the river water.
* Bank erosion: Erosion of the river banks.
So, the specific term for erosion in a river depends on the context and the specific type of erosion taking place.