  The study of nonlocal nonlinear systems and their dynamics is a rapidly
increasing field of research. In this study, we take a closer look at the
extended nonlocal Kadomtsev-Petviashvili (enKP) model through a systematic
analysis of explicit solutions. Using a superposed bilinearization approach, we
obtained a bilinear form of the enKP equation and constructed soliton
solutions. Our findings show that the nature of the resulting nonlinear waves,
including the amplitude, width, localization, and velocity, can be controlled
by arbitrary solution parameters. The solutions exhibited both symmetric and
asymmetric characteristics, including localized bell-type bright solitons,
superposed kink-bell-type and antikink-bell-type soliton profiles. The solitons
arising in this nonlocal model only undergo elastic interactions while
maintaining their initial identities and shifting phases. Additionally, we
demonstrated the possibility of generating bound-soliton molecules and
breathers with appropriately chosen soliton parameters. The results of this
study offer valuable insights into the dynamics of localized nonlinear waves in
higher-dimensional nonlocal nonlinear models.
