Bilinearization of discrete soliton equations and singularity confinement |
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| Institution: | 1. Department of Earth System Science and Technology, Kyushu University, Kasuga, Fukuoka 816, Japan;2. Department of Electrical Engineering, Doshisha University, Tanabe, Kyoto 610-03, Japan;3. Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu 520-21, Japan;4. Research Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka 816, Japan;1. Division of Human Environmental Systems, Faculty of Engineering, Hokkaido University, Japan;2. Mechanical Power Engineering Department, Faculty of Engineering, Mansoura University, El Mansoura 35516, Egypt;3. Solar Thermal Vacuum Engineering Research Group, London Centre for Energy Engineering, School of Engineering, London South Bank University, 103 Borough Road, London SE1 0AA, UK;4. Mechanical Power Engineering Department, Faculty of Engineering at Shoubra, Benha University, Shoubra 11629, Egypt;1. School of Materials Science and Engineering, Pusan National University, Busan 46241, Republic of Korea;2. Department of Biomedical Engineering, Graduate School, Pusan National University, Busan 49241, Republic of Korea;3. Department of Orthopaedic Surgery, School of Medicine, Pusan National University, and Biomedical Research Institute, Pusan National University Hospital, Busan 49241, Republic of Korea;4. Medical Research Institute, Pusan National University, Busan 49241, Republic of Korea;5. Department of Biomedical Engineering, School of Medicine, Pusan National University, and Biomedical Research Institute, Pusan National University Hospital, Busan 49241, Republic of Korea;1. Department of Mathematics, Faculty of Science, Bilkent University, 06800 Ankara, Turkey;2. Department of Mathematics, Faculty of Science, Hacettepe University, 06800 Ankara, Turkey;1. Department of Mathematics, Universidade Federal de Minas Gerais, ICEx-UFMG, CEP 30123-970, MG, Brazil;2. Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan;3. University of British Columbia, 1984 Mathematics Rd., Vancouver, V6T1Z2, Canada;1. School of Physical Science and Technology, Ningbo University, Ningbo, 315211, China;2. College of Science, Zhejiang University of Technology, Hangzhou, 310014, China |
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| Abstract: | The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed. |
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