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Integrable discretizations of the Dym equation
Authors:Bao-Feng Feng  Jun-ichi Inoguchi  Kenji Kajiwara  Ken-ichi Maruno  Yasuhiro Ohta
Institution:1. Department of Mathematics, The University of Texas–Pan American, Edinburg, TX 78539, USA; 2. Department of Mathematical Sciences, Yamagata University, 1-4-12 Kojirakawa-machi, Yamagata 990-8560, Japan; 3. Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Fukuoka 819-8581, Japan; 4. Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
Abstract:Integrable discretizations of the complex and real Dym equations are proposed. N-soliton solutions for both semi-discrete and fully discrete analogues of the complex and real Dym equations are also presented.
Keywords:Dym equation  integrable discretization  N-soliton solution  
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