The phrase "assault each other" is correct and usable in written English.
It can be used in contexts discussing physical violence or conflict between individuals or groups.
Example: "During the protest, some individuals began to assault each other, leading to a chaotic scene."
Alternatives: "attack one another" or "fight with each other".
On a platform level with the octagonal cage in which the fighters would assault each other, was a row of gilded sofas, scattered with red cushions, which still lacked occupants.
Mr. Merrick referred to the director as "the Presbyterian Hitler," and during the troubled tryout of the musical "Sugar" in the 1970's, the producer's wife, Etan, had gone so far as to remove her knitting needles from a hotel suite for fear the men might assault each other.
Is this play just an excuse for these actors to sexually assault each other?
In the intellectually raucous British household of Nina Raine's "Tribes," family members don't so much talk as assault each other with monologues.
Leading up to Survivor Series, Cena and The Rock continued to verbally assault each other, reiterating their points for their WrestleMania match, while attacking the "Awesome Truth".
What is the point of dying if your death isn't going to make people so mad they physically assault each other?
The two men assaulting each other in the Winter Garden lobby were Terence Archie, a large, splendidly built man, who plays Apollo, and Andy Karl ("Wicked," "Jersey Boys") — who is smaller than Archie, as is appropriate to the story, but also a fine specimen — as Rocky.
The relative ease of their assimilation (as compared, say, with the losers in revolutionary France or Russia) also made us forget that the American Revolution really was a civil war, in which neighbors assaulted each other, former friends faced off on battlefields, and families divided forever.
Adler's attack fits nicely into the long tradition of writers assaulting each other with bitterness and has given commentators a chance to reach for their best prose and weigh in on the New Yorker's past and present merits and wonder who or what killed it if it is dead.
