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variational principles for two compound nonlinear equations with variable coefficients
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نویسنده
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cao xiao-qun ,peng ke-cheng ,liu meng-zhu ,zhang cheng-zhuo ,guo ya-nan
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منبع
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journal of applied and computational mechanics - 2021 - دوره : 7 - شماره : 2 - صفحه:415 -421
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چکیده
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It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems. by designing the modified triallagrange functional, different variational formulations are successfully and firstly established by the semiinverse method for two kinds of compound nonlinear equation, i.e. the kdvburgers equation and the burgersbbm equation, respectively. both of them contain the variable coefficients, which are timedependent. furthermore, the obtained variational principles are proved correct by minimizing the functionals with the calculus of variations.
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کلیدواژه
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variational principle ,calculus of variations ,compound kdv-burgers equation ,compound burgers-bbm equation
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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, 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, 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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guoyanan@nudt.edu.cn
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Authors
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