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Applications of invariant subspace method for solving a coupled KdV system obtained from two-layer fluids (correct version) | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 مرداد 1405 اصل مقاله (1.11 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.67692.3238 | ||
| نویسندگان | ||
| Gaizhu Qu1؛ Gangwei Wang* 2؛ Jina Li3 | ||
| 1School of Mathematics and Physics, Weinan Normal University, Weinan 714000, China. | ||
| 21. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China. 2. Center for Differential Equations and Their Applications, Hebei University of Economics and Business, Shijiazhuang 050061, China. | ||
| 3College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China. | ||
| چکیده | ||
| In this work, a general coupled KdV system obtained from the two-layer fluid dynamic systems are in- vestigated. The governing system and the corresponding invariant subspaces are displayed by adopting the invariant subspace method (ISM). The key point of ISM is to transform coupled partial differential equations (PDEs) into a system of ordinary differential equations (ODEs). By solving the obtained ODE system, the new explicit solutions of the coupled KdV system are derived accordingly. Finally, the figures of several solutions are shown. | ||
| کلیدواژهها | ||
| Coupled KdV system؛ Invariant subspace؛ Exponential function؛ Exact solution | ||
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آمار تعداد مشاهده مقاله: 5 تعداد دریافت فایل اصل مقاله: 9 |
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