Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 5: 1017 - 1029

DOI: https://doi.org/10.1007/s11464-013-0321-y

RESEARCH ARTICLE

Integrable discretizations of the Dym equation

  • Bao-Feng FENG , 1 ,
  • Jun-ichi INOGUCHI 2 ,
  • Kenji KAJIWARA 3 ,
  • Ken-ichi MARUNO 1 ,
  • Yasuhiro OHTA 4
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  • 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

Received date: 08 Apr 2013

Accepted date: 12 May 2013

Published date: 01 Oct 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Dym equation; integrable discretization; N-soliton solution

Cite this article

Bao-Feng FENG , Jun-ichi INOGUCHI , Kenji KAJIWARA , Ken-ichi MARUNO , Yasuhiro OHTA . Integrable discretizations of the Dym equation[J]. Frontiers of Mathematics in China, 2013 , 8(5) : 1017 -1029 . DOI: 10.1007/s11464-013-0321-y

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