A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schr\"odinger equation using a polynomial expansion scheme
Abstract
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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