Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrodinger-KdV equations

作者：Bai, Dongmei; Zhang, Luming^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(3): 1263-1273.

DOI：10.1016/j.cnsns.2010.06.003

• Split-step B-spline finite element method
• The coupled Schrodinger-KdV equations
• Initial-boundary value problem
• Full-discrete scheme

We propose a novel split-step quadratic B-spline finite element method for solving the initial-boundary value problem of the coupled Schrodinger-KdV equations. A full-discrete finite element scheme is constructed. The conserved properties of the full-discrete scheme are proved. Detailed numerical results show the efficiency of our scheme.

• 出版日期2011-3
• 单位中国矿业大学（北京）; 南京航空航天大学