New Different Envelope and Super Soliton Waves for Physical Kuralay Model Phenomena

ABSTRACT This work explored the complicated coupled (1+1)‐dimensions Kuralay model, which is an integrable spin mode. The Riccati–Bernoulli subsidiary ordinary‐differential equations method has been applied to obtain general mathematical solutions in the form of rational, hyperbolic, trigonometric and exponential solutions. The dynamical properties of this solution forms in our physical model appears in the form of new novel nonlinear solutions as explosive cnoidal solutions, blow up solution, oscillatory, explosive envelope, periodic explosive envelope, stationary explosive, super form, dark and bright envelope solitons. For appropriate free physical parameter values, significant changes in the wave amplitudes of this solutions have been produced without change in phase. The obtained results by proposed method clarify the simplicity and efficacy of our method in examined nonlinear modes used in mathematical physics.