General Terms:
* Water splitting: This highlights the role of water in breaking down the molecule.
* Water addition reaction: This emphasizes the chemical change of water molecules being added to the molecule being broken down.
* Cleavage reaction: This focuses on the fact that a bond is being broken.
More Specific Terms:
* Saponification: Specifically refers to the hydrolysis of esters, often used for making soap.
* Acid hydrolysis: Refers to hydrolysis reactions that are catalyzed by an acid.
* Base hydrolysis: Refers to hydrolysis reactions that are catalyzed by a base.
* Enzymatic hydrolysis: Refers to hydrolysis reactions that are catalyzed by an enzyme.
The best alternative name depends on the specific situation and what aspect you want to emphasize.