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Extended New Painlevé Integrable KdV--CBS Equation: Multiple Shocks, Lump, Breathers, and Other Physical Wave Solutions

PHYSICA SCRIPTA(2025)

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Key words
the extended (3+1)-dimensional KdV-CBS equation,Painlev & eacute,integrability test,solitary waves theory,lump and breathers solutions,the dispersion relations,multiple shocks
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