Majority of patients get Mucocitis from radiation, and chemo. To add to what Christine B. said, eat non-irritating foods and beverages, avoid caffeine, hot foods, spiced, acid foods, and course textured...a bland diet basically.
A peroxide water rinse (1-4 ratio) cleans ulcers, but rinse mouth out with water afterwards to protect the teeth. Floss too, unless WBC or platelets are low. As mentioned on other threads a water-pic is good. If the baking soda rinse burns too much, cut out the salt.
Watch out for secondary infections from the Mucocitis like bacterial, fungal or viral infections, which require different type of medications. One comman fungal infection is oral thrush..candisis, which is basically a yeast type infection, and is treated by anti-fungals like the zole medications..fluconozole, clotromizole. Oral Thrush can go to the esophagus, and stomach, and elsewhere in the body, and if untreated, it can go into the bloodstream and becomes invasive or disseminated Candisis, which can be deadly around 40 percent of the time, I know, I had invasive candids, so oral care is very important, and tell your doctors of any changes in the mouth.
Radiation continues to work just as many weeks as radiation treatment was, so continued care is important. Good luck with Everything.