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Erschienen in:
01.12.2016
On optical solitons: the chiral nonlinear Schrödinger equation with perturbation and Bohm potential
Erschienen in: Optical and Quantum Electronics | Ausgabe 12/2016
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Abstract
The chiral nonlinear Schrödinger equation, with perturbation term and a coefficient of Bohm potential, has been studied analytically. The perturbation term produces quantum behaviour, such that quantum features are closely related to its special properties and gives the introduction of hidden variable theory in Quantum Mechanics. The equation admits a rich variety of families of exact solutions for a range of five parameters. The solutions are of qualitatively different nature, depending on the parameters. During the analytical treatment the wave solutions namely: soliton like solutions, triangular type solutions, single and combined non degenerate jacobi elliptic function like solutions are derived along with their constraint conditions. Additionally, a couple of other solutions known as singular periodic solutions, fall out as a by-product.