期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 46, 期 -, 页码 74-80出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2016.10.019
关键词
Pierls-Nabarro potential; Discrete solitons
类别
资金
- National Plan for Science, Technology and Innovation (MAARIFAH) - King Abdulaziz City for Science and Technology - through the Science & Technology Unit at King Fahd University of Petroleum & Minerals (KFUPM) - the Kingdom of Saudi Arabia [14-NAN667-04]
- King Fahd University of Petroleum and Minerals [RG1333-1, RG1333-2]
- UAEU-UPAR grant
- KFUPM
- SCTP
We derive an analytic formula for the Peierls-Nabarro (PN) potential of a discrete nonlinear Schrodinger equation with cubic focusing nonlinearity. The potential is given in terms of the ratio between the strength of nonlinearity and dispersion spanning the whole range between strongly localised to smoothly moving solitons. The essential features that characterize the on-site and inter-site stationary states are obtained. The soliton's center-of-mass dynamics is also described. The derivation is performed variationaly using two trial functions with good agreement with the exact numerical calculation. (C) 2016 Elsevier B.V. All rights reserved.
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