Construction of solitary wave solutions of bi-harmonic coupled Schrödinger system through ϕ6-methodology

The existence of solutions of coupled system of bi-harmonic Schrödinger equations as fixed point of an operator has been given in this article. The corresponding estimates for the length of continuity of solutions have been constructed. By applying new ϕ 6 model expansion, exact traveling wave solutions of the system have been extracted in the form of Jacobi elliptic functions. Particularly, trigonometric and hyperbolic functions can be obtained by applying the limits to Jacobi elliptic functions tending to zero or 1. The obtained solutions have been simulated and the resulting smooth waves have been plotted.