LAUSR

The integrability and group theoretical aspects of deformed N-coupled Hirota equations are presented. We show that the deformed N-coupled Hirota equations admit a Lax representation along with differential constraints on the deforming functions. We observe that the differential constraints of deformed N-coupled Hirota equations and the differential constraints of deformed N-coupled nonlinear Schrödinger equations (N-coupled NLS) given in Suresh Kumar (Nonlinear Dyn 90:2783–2795, 2017) are one and the same. Further, we derive its Lie point symmetries and other consequences including exact solutions. We also report that the deformed N-coupled Hirota equations admit a trilinear representation and derived one and two soliton solutions.