A multisymplectic explicit scheme for the modified regularized long-wave equation
โ Scribed by Jiaxiang Cai
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 323 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
## Abstract The unique continuation property has been intensively studied for a long time due to the important role that plays in the applications. The validity of the unique continuation property for symmetric regularized long wave equation is showed in this paper. The result is established by usi
In this article, the homotopy perturbation method (HPM) is used to implement the modified regularized long-wave (MRLW) equation with some initial conditions. The method is very efficient and convenient and can be applied to a large class of problems. In the last, three invariants of the motion are e