摘要
In this paper, we give a coupled lattice equation with the help of Hirota operators, which comes from a special BKP lattice. Two-soliton and three-soliton solutions to the coupled system are constructed. Furthermore,resonant interaction of the two-soliton solution is analyzed in detail. Under some special resonant condition, it is shown that low soliton can propagate faster than high one. Finally, the N-soliton solution is presented in the Pfaffian form.
In this paper, we give a coupled lattice equation with the help of Hirota operators, which comes from a special BKP lattice. Two-soliton and three-soliton solutions to the coupled system are constructed. Furthermore,resonant interaction of the two-soliton solution is analyzed in detail. Under some special resonant condition, it is shown that low soliton can propagate faster than high one. Finally, the N-soliton solution is presented in the Pfaffian form.
基金
Supported by the National Natural Science Foundation of China under Grant Nos.11371251,11301331 and 10971136
supported by Innovation Program of Shanghai Municipal Education Commission under Grant No.14YZ135
Young Teacher Training Program of Shanghai Universities,Shanghai 085 Project and Tian-Yuan Fund for Mathematics under Grant No.11226194
