Integrability Tests and Some New Soliton Solutions of an Extended Potential Boiti-Leon-Manna-Pempinelli Equation

This paper is devoted to the study of a (2 + 1)-dimensional extended Potential Boiti-Leon-Manna-Pempinelli equation. Firstly, By means standard Weiss Tabor Carnevale approach and Kruskal’s simplification, we prove painlevé non integrability Secondly, A new breather solution lump type are obtained based on parameter limit method Hirota’s bilinear method. Besides, some interaction behavior between N-soliton solutions (N any positive integer) studied. We construct existence theorem give process calculation proof. also concrete example illustrate effectiveness theorem, spatial structure figures displayed reflect evolutionary with change soliton number N time t.