TY - JOUR
T1 - Bilinear equations and Bäcklund transformation for a generalized ultradiscrete soliton solution
AU - Nagai, Hidetomo
AU - Takahashi, Daisuke
PY - 2010/9/17
Y1 - 2010/9/17
N2 - Ultradiscrete soliton equations and Bäcklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete Korteweg-de Vries (KdV) equation or the ultradiscrete Toda equation in a special case. We also express the solution by the ultradiscrete permanent, which is defined by ultradiscretizing the signature-free determinant, that is, the permanent. Moreover, we discuss a relation between Bäcklund transformations for discrete and ultradiscrete KdV equations.
AB - Ultradiscrete soliton equations and Bäcklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete Korteweg-de Vries (KdV) equation or the ultradiscrete Toda equation in a special case. We also express the solution by the ultradiscrete permanent, which is defined by ultradiscretizing the signature-free determinant, that is, the permanent. Moreover, we discuss a relation between Bäcklund transformations for discrete and ultradiscrete KdV equations.
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U2 - 10.1088/1751-8113/43/37/375202
DO - 10.1088/1751-8113/43/37/375202
M3 - Article
AN - SCOPUS:78649587326
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 37
M1 - 375202
ER -