A multisymplectic explicit scheme for the modified regularized long-wave equation

作者：Cai Jiaxiang^*

来源：Journal of Computational and Applied Mathematics, 2010, 234(3): 899-905.

DOI：10.1016/j.cam.2010.01.057

• Modified regularized long-wave equation
• Multisymplectic structure
• Euler-box scheme
• Solitary wave

In this paper, we derive a new 10-point multisymplectic scheme for the modified regularized long-wave equation. The new scheme is an explicit scheme in the sense that the third time level does not include nonlinear terms. Numerical results indicate that the new scheme not only provides satisfied numerical solutions, but also preserves three invariants of motion very well.

• 出版日期2010-6-1
• 单位淮阴师范学院