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视频:南京大学大学物理学第69讲 Conservation laws
We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and cont...
Abstract: The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self...
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
We introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conservation laws. The fractional part of these equations can be a fractional Laplacian or other non-local ...
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...
The Abelian Sandpile generates complex and beautiful patterns and seems to display allometry. On the plane, beyond patches, patterns periodic in both dimensions, we remark the presence of structures p...
We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-calle...
2006Vol.46No.1pp.15-20DOI: Symmetry Reduction, Exact Solutions, and Conservation Laws of (2+1)-Dimensional Burgers Korteweg-de Vries Equation DONG Zhong-Zhou,1 LIU Xi-Qiang,1 and ...
2006Vol.46No.1pp.21-22DOI: An Effective Method for Seeking Conservation Laws of Partial Differential Equations QIN Mao-Chang,1 MEI Feng-Xiang,2 and FAN Gui-Hong3 1 Scien...
2006Vol.45No.3pp.487-492DOI: New Exact Solutions and Conservation Laws to (3+1)-Dimensional Potential-YTSF Equation ZHANG Li-Hua and LIU Xi-Qiang School of Mathematical ...
2005Vol.44No.6pp.967-968DOI: Conservation Laws of Differential Equations in Finance QIN Mao-Chang,1 MEI Feng-Xiang,2 and SHANG Mei2 1 School of Science, Chongqing Techno...
2005Vol.44No.1pp.19-22DOI: Hojman Conservation Laws for Relativistic Birkhoffian System XU Zhi-Xin School of Naval Architecture and Ocean Engineering, Jiangsu University...
2005Vol.44No.2pp.231-234DOI: Integrating Factors and Conservation Laws for Relativistic Mechanical System ZHANG Yi Department of Civil Engineering, University of Science...
2004Vol.41No.4pp.487-492DOI: Conservation Laws and Soliton Solutions for Generalized Seventh Order KdV Equation YAO Ruo-Xia,1,2 XU Gui-Qiong,1,3 and LI Zhi-Bin1 1 Depart...

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