Various localized wave structures and dynamical analysis for a (2+1)-dimensional version of fifth-order equation

Under investigation is the (2+1)-dimensional version of fifth-order equation, which is an extension of the (1+1)-dimensional fifth-order equation. First, the [Formula: see text]-soliton solutions of this (2+1)-dimensional equation are constructed by using its Hirota bilinear form. Second, through using long-wave limit technique and selecting appropriate parameters for the [Formula: see text]-soliton solutions, diverse localized wave structures including kink soliton, breather, lump solution and their mixed interaction behaviors are obtained, and relevant dynamics features are discussed and analyzed graphically. Finally, some mathematical properties and special physical phenomena are summarized. The results obtained in this paper might be helpful to deepen the understanding of the interaction evolution of nonlinear localized waves.