Timmy,
If you have multiple test methods, the convention is to name them according to what they are testing. For example:
@Test public void invalidMove()
If you have the same exact tests with different parameters/results, you could use the parameterized test case
pattern. The implementation is different between JUnit 3.8 and 4.0, but you'll find it searching for "parameterized test case" and your version of JUnit.