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nlin.SI2009★ 98 cited
Integrable discretizations of the short pulse equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
In the present paper, we propose integrable semi-discrete and full-discrete analogues of the short pulse (SP) equation. The key of the construction is the bilinear forms and determ…
nlin.SI2009★ 5 cited
A self-adaptive mesh method for the Camassa-Holm equation
Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta
A self-adaptive moving mesh method is proposed for the numerical simulations of the Camassa-Holm equation. It is an integrable scheme in the sense that it possesses the exact N-sol…