Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system

In this paper, we will obtain the exact N-soliton solution of coupled long-wave–short-wave system via developed Hirota bilinear method. Through manipulating relevant parameters, construct different types solutions which include breather-like and dark-soliton-breather-like solutions. Moreover, demonstrate that interactions two-soliton two-breather-like are all elastic through asymptotic analysis Finally, display illustrations.