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A multisymplectic explicit scheme for the modified regularized long-wave equation
Authors:Jiaxiang Cai
Institution:School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, PR China
Abstract: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.
Keywords:Modified regularized long-wave equation  Multisymplectic structure  Euler-box scheme  Solitary wave
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