[01] Ayşe Yumak, Physics Department, Faculty of Arts and Sciences, Marmara University, Istanbul, Turkey. [02] Karem Boubaker, Unity of Physics of Semi-Conductings Disposals UPDS, Tunis EL MANAR University, Tunisia.

In this paper, travelling wave solutions to the nonlinearly dispersive Schrödinger equation are computed in the case of one-dimensional non-relativistic electron confined to a cylindrical quantum well. Investigations gave evidence to the possibility of simplified continuous solutions which are in good agreement with the probabilistic interpretation of this equation.

Schrödinger Equation, Non-Relativistic Electron, Quantum Well, Boubaker Polynomials Expansion Scheme BPES, Rogue-Langmuir Traveling Wave

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