TY - JOUR
T1 - Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves
AU - Feng, Bao Feng
AU - Inoguchi, Jun Ichi
AU - Kajiwara, Kenji
AU - Maruno, Ken Ichi
AU - Ohta, Yasuhiro
PY - 2011/9/30
Y1 - 2011/9/30
N2 - We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the WadatiKonnoIchikawa elastic beam equation, the complex Dym equation and the short pulse equation. They are related to the modified KdV or the sineGordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the EulerLagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations.
AB - We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the WadatiKonnoIchikawa elastic beam equation, the complex Dym equation and the short pulse equation. They are related to the modified KdV or the sineGordon equations by the hodograph transformations. Based on the observation that the hodograph transformations are regarded as the EulerLagrange transformations of the curve motions, we construct the discrete analogues of the hodograph transformations, which yield integrable discretizations of those soliton equations.
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U2 - 10.1088/1751-8113/44/39/395201
DO - 10.1088/1751-8113/44/39/395201
M3 - Article
AN - SCOPUS:80052922138
SN - 1751-8113
VL - 44
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 39
M1 - 395201
ER -