I am a college student who worked on a small problem in applied mathematics for two years. I recently get together some results that could be sent to publish. However when I am finishing my draft I find a work published in a decent journal six days ago solving almost the same problem.
What can I do? The math problem is very specific so I cannot change the problem a little bit to make my work unique.
Explanation for the "almost": The abstraction/essence of the problem is exactly the same. However, since this applied math problem has been applied to many fields of science, our story and approach are completely different. I said "almost" because the core problem is the same. However, the main problem is associated with some peripheral problems that are not that important. We have done different extensions.