Soliton exotic collision of the (2+1)-dimensional modified dispersive water-wave system in fluid mechanics

Abstract

Using the bifunction method with the exponential form solution, which includes many solutions reported in literatures, we can obtain variable separation solutions of the (2+1)-dimensional modified dispersive water-wave system in fluid mechanics. Based on the exponential-form variable separation solution, we discuss special soliton collision between two dromion-pairs constructed by one dromion and one anti-dromion for two field components of system. Moreover, we also study compacton-like soliton fusion and fission phenomena for two field components. The singularity and un-physical structure is found for one of two field components when we discuss soliton collision between two dromion-pairs for another component, thus researcher must consider the construction of localized coherent structures for all field components in order to guarantee the importance of the research for localized coherent structures based on variable separation solutions.