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Nonlocal complex short pulse equation in $${\mathcal{P}\mathcal{T}}$$-symmetry like symmetry breaking, breather–grammian interactions and soliton solutions

Crossref DOI link: https://doi.org/10.1038/s41598-025-15212-4

Published Online: 2025-09-02

Update policy: https://doi.org/10.1007/springer_crossmark_policy

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