Integrable discretizations for the short wave model of the Camassa-Holm equation - Nonlinear Sciences > Exactly Solvable and Integrable SystemsReport as inadecuate




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Abstract: The link between the short wave model of the Camassa-Holm equation SCHE andbilinear equations of the two-dimensional Toda lattice 2DTL is clarified. Theparametric form of N-cuspon solution of the SCHE in Casorati determinant isthen given. Based on the above finding, integrable semi-discrete andfull-discrete analogues of the SCHE are constructed. The determinant solutionsof both semi-discrete and fully discrete analogues of the SCHE are alsopresented.



Author: Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta

Source: https://arxiv.org/



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