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arXiv · 1002.3649

Integrable discretizations for the short wave model of the Camassa-Holm equation

Bao-Feng Feng·Ken-ichi Maruno·Yasuhiro Ohta
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Abstract

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.

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Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta. 2010-02-19. Integrable discretizations for the short wave model of the Camassa-Holm equation. https://doi.org/10.1088/1751-8113%2F43%2F26%2F265202

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