The following words are just my personal opinion, you can take it as a reference, do not take it seriously.
Dragon and Tiger are all the big powers in animals. They may fight for power or status. However, the two can also be much more stronger under the influence of each other. In china, the man are always the top one in the house, but that is not to say that woman do not have rights or status. Atually, now they are the same but woman should appears to be a little worse than man. Then they will have more energy and resposiblity to work. As both of you might be strong, i suggest that you can be strong in your work, but when you return home, you can show your charming. I think this will make your marriage much longer.