What you've provided aaryan0077 is a PHENOMOLOGICAL DESCRIPTION not an explanation. Noting that there is a wobble is not understanding, accurately PREDICTING where the Earth's magnetic pole is going to be in the next second,minute, millenia and understanding WHY it behaves this way is understanding (and I mean why in a quantifiable, exact, experimentally provable way, not in a 'well, like, the Earth's got charge in it, and like, it's a fluid, that's why it happens' sort of way).
As I said before, our lack of an accurate mathematical model is really just due to the size of the system and the difficulty of getting accurate data and at the end of the day, it's going to be a chaotic system (like the weather), which is to say, unless we know the EXACT position and momentum (ignoring quantum effects) of every single particle in the system and could solve the coupled differential equations of their motion (for a bench mark, if every atom on the planet was actually a bit in a modern computer we could do this for maybe 13 electrons without making approximations) the error in our initial conditions and the error from the approximations made in our model will cause us to lose all accuracy after a short amount of time. So, like the weather, there's not really anything new or interesting happening (the physics is pretty basic) but the enormity of the system and the sensitivity of the solutions to initial conditions means we'll never be able to predict the weather (unless we have a computer the size of our galaxy at our disposal) with complete accuracy.