You have already said the name of that war: Second Punic War. It was the second of three Punic wars between Rome and Carthage. Punic is an adaptation of Punicus, the Latin name for the Carthaginians.
Another name for this war is Hannibalistic War.
It was a contest for dominance of the Western Mediterranean between Carthage and Rome.
Hannibal and Scipio struggled with each other during the Second Punic War .
Part of the Second Punic War was Hannibal's invasion of Italy.
No Hannibal was involved in the Second Punic war and Rome won all three Punic Wars.
In the First Punic War, Rome defeated Carthage and gained Sicily. In the Second Punic War, Rome defeated Carthage comprehensively and imposed crippling financial penalties with limitations designed to remove its threat as a competitor. Carthage was resilient and paid the penalties, was attacked by Rome's allies, resisted and was destroyed in the Third Punic War.
It established Rome as the dominant power in the Western Mediterranean, and their move to punish Macedonia for supporting Carthage led them to the Greek east, where they eventually became dominant also.
Second Punic War.
The second Punic war was fought in three theaters -- Italy, Sicily and Hispani
The Second Punic War was between Carthage and Rome. Heannibal was a Carthaginian general in that war.
The Second Punic War stated in 218 BC and ended in 202 BC.
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The Second Punic War began in 218 BC and lasted until 202 BC.
First Punic War - Rome defeated Carthage. Second Punic War - Rome defeated Carthage. Third Punic War - Rome defeated Carthage.
Hannibal and Scipio struggled with each other during the Second Punic War .
First Punic War - 264-241 BCE Second Punic War - 218-201 BCE Third Punic War - 149-146 BCE
Part of the Second Punic War was Hannibal's invasion of Italy.
Scipio Africanus led the Roman army in the final phase of the Second Punic War
No Hannibal was involved in the Second Punic war and Rome won all three Punic Wars.