Be sure to get enough rest and sleep before your departure.
It may be easier to sleep according to your home time, rather than trying to adjust to the local time at your destination.
When the stay is longer
Be sure to get enough rest and sleep before your departure.
When traveling east (i.e., from Japan to North America) try going to bed and getting up progressively earlier several days before your departure. When traveling west (i.e., Japan to Europe) do the opposite and go to bed later and get up later.
When onboard, set your watch to the destination time. Try to fall asleep as soon as possible when traveling east.
After your arrival, try to keep your schedule on local time.
Take advantage of bright sunlight to help your body's internal clock reset to the local time. For example, if you are traveling from Japan to the west coast of North America, spend the first day sunbathing by the seaside or the pool, walking, shopping, or being active (fast walking, swimming, tennis, golf, etc.) starting around noon local time (early morning in Japan).
Sleeping Medication
For severe insomnia, take sleeping medication under the guidance of your doctor. However, do not mix sleeping medication with alcohol.