0
$\begingroup$

what classical PDEs have analytical expressions for soliton-like shape solutions but motionless?

for example, KdV has analytical expressions of the kind (sech^2(x-vt)), but all of them are propagative, and introduce a drift to cancel its motion is not an option.

I am looking for a classical PDE with a straightforward and well known unimodal (or one bump-like) analytical solutions, but motionless.

Improve this question
$\endgroup$
2
  • $\begingroup$ The object you're interested in is usually dubbed "standing wave". Any google search will help you. Quite a few examples are known on metric graphs (e.g.: NLS, Dirac). $\endgroup$
    – Delio Mugnolo
    Commented Oct 28, 2019 at 8:48
  • $\begingroup$ Yes, I found a lot of nonlinear models with standing waves as solutions, but with analytical solutions are few. Nevertheless, NLS is maybe the most closer to my needs. Thanks @DelioMugnolo $\endgroup$
    – Alejandro Alvarez-Socorro
    Commented Nov 2, 2019 at 15:45

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .