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There are many works on spontaneous symmetry breaking in the Nonlinear Schrödinger equation with asymmetric soliton solutions.

However, all symmetry breaking soliton examples I have seen go from the original symmetry group to the trivial group.

Can anyone point me to explicit examples of symmetry-breaking groundstate solitons which retain a non-trivial subgroup symmetry?

Thanks for reading!

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  • $\begingroup$ It might help if you briefly exhibited one of these examples you've seen, to give people some guidance on what you're looking for. Otherwise, the question will remain nebulous to a significant number of people who in principle might be able to contribute. $\endgroup$
    – Michael Engelhardt
    Commented Jan 23 at 3:26

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