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Numerical Solution of the Cubic Nonlinear Shrodinger's Equation with Repulsive Delta Potential

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In this work, a powerful iterative method, called Residual power series method (RPSM) is introduced to obtain approximate solutions of the cubic nonlinear Shrödinger's equation (NLSE) with repulsive delta potential subject to certain initial conditions. The consequens specify that this algorithm is active and appropriate and can be enforced to expance of problems. The numerical solutions are matched with the given exact solutions (Figs. 1–3).

Keywords: CUBIC NONLINEAR SHRÖDINGER'S EQUATION; RESIDUAL POWER SERIES METHOD

Document Type: Research Article

Publication date: 01 September 2018

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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