How does Robert Burns shows that his love is strong and passionate and like a battle in "A Red, Red Rose"?
Ahhh, a very tricky,but interesting question! The clue is in the genre not the words. Remember what other noble and valuable occupation our favourite Scottish poet was famous for? It was Song Collecting - or as he called them 'Scottish Airs' a much prettier phrase.
The poem 'My Love is like a Red Red Rose' is actually a song and Burns was very particular about the tune - a military tune! He wanted it set to the air of the Gow tune 'The Major Graham' - the first three stanzas were published as such. Indeed, sung like this, the words would have sounded like a battle in war time and designed to motivate and encourage - rousing,lasting, passionate and loyal in love - unlik,sadly, the fickle Mr Burns!
I really don't think Burns is saying this about his love in this poem. The poem seems to me to be more of a "sweet" and "romantic" love than of passion.
A rose that is newly sprung in June is not passionate. A melody sweetly played in tune is certainly not something that reminds me of a battle or of anything passionate.
As for the rest of the poem, it seems to be talking more about longevity than about passion -- it's talking about how long he will love her, not about how madly he loves her.
So I do not agree with the premise of this question. I do not see that view of love in this poem.