Extended Conservation Laws of Some Nonlinear Partial Differential Equations |
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| Authors: | SONG Zhao-Hui MEI Jian-Qin ZHANG Hong-Qing |
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| Affiliation: | School of Mathematics Sciences, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | ![]()
Self-adjoint theorem is introduced to match the corresponding functional of the given differential equations, and then N"{o}ether's theorem is used todetermine the extended conservation laws of the original equations. Finally, as the application of the method, the conservation laws of Drinfel'd-Sokolov-Wilson equation and Benjamin-Bona-Mahony equation are constructed. |
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| Keywords: | extended conservation laws Lagrangian function NSether＇s theorem |
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