Just to elaborate on what the other posters have mentioned: your first
job is to find at least one paper that is very relevant to the
specific topic that you are interested in, e.g. symmetry analysis of
Pochhammer-Chree equations. Possibly just searching on Google Scholar
and browsing the results is your best option here. The number of
citations that a specific paper has is an indication of whether that
paper was important/influential within your field (i.e., these are the
papers your reviewers will know about), so you should make sure to
study these papers in particular. Once you have a good reference
paper, you can use Google Scholar to click on the blue 'Cited by ##'
hyperlink that is on the bottom left of every search result on
Scholar. You can use this to find other relevant papers going forward
in time. As you collect relevant papers, you can also look at their
references (and read the 'related work' sections of the paper) and
find other papers that you may have missed.
In most cases, it is impossible to 'not miss a single article' on the
topic that you are looking for, and I don't believe this is a useful
goal anyways. Of course, in some fields, a result may be binary:
either you have proven/shown something or you have not, and once it's
done, there is no point doing it again. But in most fields, if two
people independently pursue the same topic, they will approach it in
different ways, and confirming each other's findings in this way
provides a lot of value. When your paper is reviewed, it is essential
that you demonstrate an intellectual heritage to your work - that you
care about prior work, and have used it to guide you, and you are
building on a tradition. If you miss something, the reviewers will be
happy to point it out, and in my experience this is rarely the reason
a paper gets rejected. And even if a paper is rejected for inadequate
understanding of prior work, this is an easy problem to fix for
resubmission elsewhere.
So in summary: you can only do your best. The process outlined above
is the process used by most people these days. If you follow this
approach, and put in the proper amount of effort, then if you miss
something anyways, I don't think anyone will hold it against you (and
most likely no one, including you, will ever know).