Multidromion Soliton and Rouge Wave for the (2 + 1)‎-Dimensional Broer-Kaup System with Variable Coefficients

Abstract EN

Broad new families ofrational form variable separation solutions with two arbitrarylower-dimensional functions of the (2 + 1)-dimensional Broer-Kaupsystem with variable coefficients are derived by means of animproved mapping approach and a variable separation hypothesis.

Based on the derived variable separation excitation, some newspecial types of localized solutions such as rouge wave, multidromion soliton, and soliton vanish phenomenon are revealed byselecting appropriate functions of the general variable separationsolution.