2010/02/19 by Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta · 1 citation
Physics and Astronomy · #nlin.SI #nlin.PS
paper · pdf · doi:10.1088/1751-8113/43/26/265202
published as Journal of Physics A: Mathematical and Theoretical, 43 (2010) 265202
arxiv created 2010/02/19 · arxiv updated 2011/05/10
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of the SCHE in Casorati determinant is then given. Based on the above finding, integrable semi-discrete and full-discrete analogues of the SCHE are constructed. The determinant solutions of both semi-discrete and fully discrete analogues of the SCHE are also presented.