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Variational Principles and Hamiltonian Formulation for Nonlinear Water Waves
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作者 Doctoral Candidate: Zhang Baoshan Advisor: Prof.Dai Shiqiang 《Advances in Manufacturing》 SCIE CAS 1998年第3期86-88,共3页
Variationalprinciplesmaysuccinctlyleadtoequationsofmotionforwaterwaves,alowinsightintotheefectofparameters,a... Variationalprinciplesmaysuccinctlyleadtoequationsofmotionforwaterwaves,alowinsightintotheefectofparameters,andprovideapathfor... 展开更多
关键词 Hamiltonian variational principle infinite dimensional lie algebra nonlinear water waves KdV equation mKdV equation Hamiltonian canonical equation symplectic geometry
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Generalized symmetries of an N=1 supersymmetric Boiti–Leon–Manna–Pempinelli system
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作者 王建勇 唐晓艳 +1 位作者 梁祖峰 楼森岳 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第5期148-152,共5页
The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supe... The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supersymmetric framework to explore series of infinitely many generalized symmetries for supersymmetric systems. Taking the N = 1 supersymmetric Boiti-Leon-Manna-Pempinelli system as a concrete example, it is shown that the application of the extended FSSA to this supersymmetric system leads to a set of infinitely f(t). Some interesting special cases of symmetry algebras are commutativity of higher order generalized symmetries. many generalized symmetries with an arbitrary function presented, including a limit case f(t) = 1 related to the 展开更多
关键词 formal series symmetry approach generalized symmetry infinite dimensional lie algebra supersymmetric Boiti-Leon-Manna-Pempinelli system
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