Nonlocal symmetries and explicit solutions of the AKNS system
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چکیده
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the effect of explicit teaching of metacognitive vocabulary learning strategies on recall and retention of idioms
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15 صفحه اولNonlocal Symmetries and Interaction Solutions of the (2+1)-dimensional Higher Order Broer-Kaup System
The (2+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by nonlocal symmetry method and consistent tanh expansion (CTE) method in this paper. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves and corresponding images are explicitly given. PACS numbers: 02.30.Jr, 11.10.Lm, 02.20.-a, 04.20.Jb
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The local theory of symmetries of differential equations has been well-established since the days of Sophus Lie. Generalized, or higher order symmetries can be traced back to the original paper of Noether, [32], but were not exploited until the discovery that they play a critical role in integrable (soliton) partial differential equations, cf. [30, 33, 35]. While the local theory is very well d...
متن کاملLie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system
*Correspondence: [email protected] 1College of Mathematics, China University of Mining and Technology, Xuzhou, 221116, P.R. China Full list of author information is available at the end of the article Abstract The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2014
ISSN: 0893-9659
DOI: 10.1016/j.aml.2013.09.002