TY - JOUR
T1 - Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation
AU - Feng, Bao Feng
AU - Chen, Junchao
AU - Chen, Yong
AU - Maruno, Ken Ichi
AU - Ohta, Yasuhiro
N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd.
PY - 2015/9/25
Y1 - 2015/9/25
N2 - In the present paper, integrable semi-discrete and fully discrete analogues of a coupled short pulse (CSP) equation are constructed. The key to the construction are the bilinear forms and determinant structure of the solutions of the CSP equation. We also construct N-soliton solutions for the semi-discrete and fully discrete analogues of the CSP equations in the form of Casorati determinants. In the continuous limit, we show that the fully discrete CSP equation converges to the semi-discrete CSP equation, then further to the continuous CSP equation. Moreover, the integrable semi-discretization of the CSP equation is used as a self-adaptive moving mesh method for numerical simulations. The numerical results agree with the analytical results very well.
AB - In the present paper, integrable semi-discrete and fully discrete analogues of a coupled short pulse (CSP) equation are constructed. The key to the construction are the bilinear forms and determinant structure of the solutions of the CSP equation. We also construct N-soliton solutions for the semi-discrete and fully discrete analogues of the CSP equations in the form of Casorati determinants. In the continuous limit, we show that the fully discrete CSP equation converges to the semi-discrete CSP equation, then further to the continuous CSP equation. Moreover, the integrable semi-discretization of the CSP equation is used as a self-adaptive moving mesh method for numerical simulations. The numerical results agree with the analytical results very well.
KW - coupled short pulse equation
KW - integrable discretization
KW - selfadaptive moving mesh method
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U2 - 10.1088/1751-8113/48/38/385202
DO - 10.1088/1751-8113/48/38/385202
M3 - Article
AN - SCOPUS:84941049525
VL - 48
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 38
M1 - 385202
ER -