1-Soliton solution and conservation laws for the Jaulent-Miodekequation with power law nonlinearity
Abstract This paper obtains the 1-soliton solution of the Jaulent–Miodek equation with power law nonlinearity. The solitary wave ansatz is used to obtain the soliton solution to this equation. Subsequently, the conserved quantities are computed using the invariance and multiplier approach based on the well known result that the Euler–Lagrange operator annihilates the total divergence.
Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method
Abstract A new generalized solitary solution of the Jaulent–Miodek equations is obtained using the Exp-function method. By a transformation, the solitary solution can be easily converted into a generalized compacton-like solution. The free parameters in the obtained generalized solutions might imply some meaningful results in physical process.
Nonlinear Schrödinger equations and N = 1 superconformal algebra
Abstract By using AKNS scheme and soliton connection taking values in N  = 1 superconformal algebra we obtain new coupled super nonlinear Schrodinger equations.