and those who accuse their wives of unchastity, and have no witness other than themselves, the witness ....
If a husband catches his wife in adultery, it is not possible to prive ti, because it is much difficult to find four witnesses in time.
Eventually, it will be more difficult for them to live a normal married life, and ti only depends to the honour and agreement ot the spouses.
The solution suggested by quran in this case is; if the husband swears tour times that he has seen the guilt, and in addition invokes the curse of Allah on himself, if he be a liar; that will be the first step in proving the guilt and betrayal.
But if the wife too, swears and invokes the curse similarly to deny the charge, she will be acquitted of the guilt. If she confesses, or does not take the steps, the charge is proved and the punishment will follow. Then after such an incident it is difficult for the spouses to live together happily, unless they excuse each other and show some tolerance.