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arxiv: 1207.6516 · v1 · pith:JE6DFH5Vnew · submitted 2012-07-27 · 🧮 math-ph · math.FA· math.MP

A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schr\"{o}dinger equation using a polynomial expansion scheme

classification 🧮 math-ph math.FAmath.MP
keywords continuousdispersiveequationnonlinearlyschrsolutionstravelingwave
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In this paper, traveling wave solutions to the nonlinearly dispersive Schr\"odinger equation are given in the case of one-dimensional non-relativistic electron confined to a cylindrical quantum well. Investigations gave evidence to the possibility of implementing continuous solutions for a quantum-based problem.

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