Is it permissible to marry a second wife in a country of emigration without the consent of the parents who refuse to allow the first wife and children to move and live with him, and what is the ruling on the second wife assisting the husband with life's burdens?

It is not permissible for parents to prevent their son from taking his wife and children with him on his travels. He may take them even if his parents dislike it, while still attempting to appease them. If he wishes to marry a second wife, he must be just between the two wives. Their right to division [of time/provision] is not forfeited if they are in different countries. In such a case, he must either go to the absent wife during her allotted days, or bring them together in one country, or divide the period as feasible. Her right is forfeited if she refuses to come due to her disobedience (nushuz). If the wife waives her right, there is no objection to that.

If the parents wish to prevent their son from marrying a specific woman, he must obey them, unless he fears falling into haram (unlawful acts). However, if they wish to prevent him from polygyny in general, he is not obligated to obey them. He may marry a second, third, and fourth wife, even if they do not agree, provided he adheres to justice between the wives. Disobeying them becomes more emphatic if he fears falling into indecency. He may conceal his second marriage from his parents; their approval or knowledge is not a condition.