Bright, dark and breather soliton solutions of the generalized long-wave short-wave resonance interaction system

In this paper, a generalized long-wave short-wave resonance interaction system, which describes the nonlinear between and in fluid dynamics, plasma physics optics, is considered. Using Hirota bilinear method, general N-bright N-dark soliton solutions are deduced their Gram determinant forms obtained. A special feature of fundamental bright solution that, general, it behaves like Korteweg-deVries soliton. However, under condition, also akin to Schrödinger when loses amplitude-dependent velocity property. The dark-soliton admits anti-dark, gray, completely black profiles, component, depending on choice wave parameters. On other hand, soliton-like profile always occurs component. asymptotic analysis shows that both dark solitons undergo an elastic collision with finite phase shift. addition these, by tuning shift regime, we point out existence interactions among solitons. Furthermore, bring various types bound states. Also, fixing factor system parameter $$\beta $$ , corresponding long short components, different profiles associated obtained breather demonstrated.