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Two Distinct Approaches for Analytical Solutions and Painlevé Integrability of the $$(3+1)$$-Dimensional Variable Coefficient KP Equation Describing Long Waves in Shallow Water

Crossref DOI link: https://doi.org/10.1007/s12346-025-01383-y

Published Online: 2025-09-24

Published Print: 2025-10

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

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