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- W2015587298 abstract "Two formulas are introduced to directly obtain new conservation laws for any system of partial differential equations from a known conservation law and admitted symmetries. The first formula maps any conservation law of a given system to the corresponding conservation law of the system obtained through a contact transformation. When the contact transformation is a symmetry of the given system, then the corresponding conservation law is a conservation law of the given system. The second formula checks a priori whether or not the action of a symmetry (continuous or discrete) on a conservation law can yield one or more new conservation laws of the given system. Several examples are considered, including the use of a discrete symmetry to obtain a new conservation law and the use of a continuous symmetry to generate two new conservation laws." @default.
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- W2015587298 date "2006-10-01" @default.
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- W2015587298 title "New conservation laws obtained directly from symmetry action on a known conservation law" @default.
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- W2015587298 doi "https://doi.org/10.1016/j.jmaa.2005.08.092" @default.
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