Homotopy Analysis Method for Non-Linear Schrödinger Equations

Abstract

This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of nonlinear Schrödinger equations. Numerical results clearly reflect complete compatibility of the proposed algorithm and discussed problems. Several examples are presented to show the efficiency and simplicity of the method.

Homotopy Analysis Method for Free-Convective Boundary-Layer Equation Using Pade ´Approximation

“…These flows can be modeled by systems of nonlinear ordinary differential equations on an unbounded domain, see [19,[21][22][23][24][25] and the refernces therein. Keeping in view the physical importance of such problems, there is a dire need of extension of some reliable and efficient technique for the solution of such problems.…”

Homotopy Analysis Method for Fourth-Order Time Fractional Diffusion-Wave Equation

“…O Bazighifan et al [26,27,28,29] studies the sufficient conditions for oscillation of all solutions of a second-order functional differential equation. Imran et al [30,31] obtain analytical solutions of nonlinear Schrödinger equations. Qayyum et al [32] discuss thin film flow of non-Newtonian pseudo-plastic fluid is investigated on a vertical wall through homotopy-based scheme along with fractional calculus.…”