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new variational principles for two kinds of nonlinear partial differential equation in shallow water
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نویسنده
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cao xiao-qun ,zhou meng-ge ,xie si-hang ,guo ya-nan ,peng ke-cheng
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منبع
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journal of applied and computational mechanics - 2024 - دوره : 10 - شماره : 2 - صفحه:406 -412
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چکیده
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Variational principles are very important for a lot of nonlinear problems to be analyzed theoretically or solved numerically. by the popular semi-inverse method and designing trial-lagrange functionals skillfully, new variational principles are constructed successfully for the kuramoto-sivashinsky equation and the coupled kdv equations, respectively, which can model a lot of nonlinear waves in shallow water. the established variational principles are also proved correct. the procedure reveals that the used technologies are very powerful and applicable, and can be extended to other nonlinear physical and mathematical models.
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کلیدواژه
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variational principle ,calculus of variations ,kuramoto-sivashinsky equation ,coupled kdv equations
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آدرس
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national university of defense technology, college of meteorology and oceanography, college of computer, china, national university of defense technology, college of meteorology and oceanography, china, national university of defense technology, college of meteorology and oceanography, china, national university of defense technology, college of meteorology and oceanography, college of computer, china, national university of defense technology, college of meteorology and oceanography, college of computer, china
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پست الکترونیکی
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pengkch15@lzu.edu.cn
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Authors
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