Difference equations for N-solitons solutions to KdV |
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| Institution: | 1. Department of Agricultural Economics and School of Natural Resources, Daugherty Water for Food Institute Faculty Fellow, University of Nebraska-Lincoln, 307A Filley Hall, Lincoln, NE 68583-0922, USA;2. Department of Agricultural and Resource Economics, Giannini Foundation of Agricultural Economics, University of California-Berkeley, USA;1. Department of Chemistry, Indira Gandhi National Tribal University, Amarkantak, Madhya Pradesh, India;2. Department of Chemistry, University of Lucknow, Lucknow, Uttar Pradesh, India;3. Department of Chemistry, North-West University (Mafikeng Campus), Private Bag X2046, Mmabatho 2735, South Africa;4. Nanolab, Research Institute for Biomolecular & Chemical Engineering, University of Pannonia, Veszpem 8200, Hungary;5. Department of Chemistry, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;1. Department of Life Sciences, Imperial College London, UK;2. FB Mathematik und Informatik, Freine Universität Berlin, Germany;3. Melbourne Integrated Genomics, University of Melbourne, Australia;4. School of BioScience, University of Melbourne, Australia;5. School of Mathematics and Statistics, University of Melbourne, Australia |
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| Abstract: | Using a newly-developed method, it is shown that the N-soliton solutions to the Korteweg-de Vries equation satisfy high-order difference equations in the spectral parameter. These equations are exhibited explicitly. |
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