A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system |
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| Authors: | Haiyong Ding Peng Hua Junben Zhang Hongye Chen |
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| Institution: | 1. College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, P.R. China;2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266150, P.R. China;3. School of Environment and Spatial Informatics of CUMT, Xuzhou 221008, P.R. China;1. Department of Mathematics, School of Sciences, Zhejiang University, Hangzhou 310027, China;2. School of Sciences, Jimei University, Xiamen 361021, China;3. Department of Mathematics, Fuzhou University, Fuzhou 350002, China;1. Department of Food Science and Technology, Carbohydrate Bioproduct Research Center, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul 143-747, Republic of Korea;2. National Center for Agricultural Utilization Research, Agricultural Research Service, United States Department of Agriculture, 1815 N. University Street, Peoria, IL 61604, United States;1. Department of Physics, Central China Normal University, Wuhan 430079, China;2. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China |
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| Abstract: | Two hierarchies of integrable positive and negative nonlinear lattice systems are derived from a discrete iso-spectral problem. When the Lax operators are expanded by virtue of the positive and negative power expansion with respect to the spectral parameter, we get the corresponding integrable hierarchies. Moreover, a direct matrix spectral method is used to get the associated integrable coupling system of the first resulting hierarchy. |
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