scholarly journals Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jiaxiang Cai ◽  
Juan Chen ◽  
Min Chen
Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 224
Author(s):  
Ghaylen Laouini ◽  
Amr M. Amin ◽  
Mohamed Moustafa

A comprehensive study of the negative-order Kadomtsev–Petviashvili (nKP) partial differential equation by Lie group method has been presented. Initially the infinitesimal generators and symmetry reduction, which were obtained by applying the Lie group method on the negative-order Kadomtsev–Petviashvili equation, have been used for constructing the reduced equations. In particular, the traveling wave solutions for the negative-order KP equation have been derived from the reduced equations as an invariant solution. Finally, the extended improved (G′/G) method and the extended tanh method are described and applied in constructing new explicit expressions for the traveling wave solutions. Many new and more general exact solutions are obtained.


Author(s):  
Jonathan Coignard ◽  
Maxime Janvier ◽  
Vincent Debusschere ◽  
Gilles Moreau ◽  
Stéphanie Chollet ◽  
...  

2021 ◽  
Vol 144 ◽  
pp. 111030
Author(s):  
Kathelijne Bouw ◽  
Klaas Jan Noorman ◽  
Carina J. Wiekens ◽  
André Faaij

Energies ◽  
2021 ◽  
Vol 14 (7) ◽  
pp. 1862
Author(s):  
Alexandros-Georgios Chronis ◽  
Foivos Palaiogiannis ◽  
Iasonas Kouveliotis-Lysikatos ◽  
Panos Kotsampopoulos ◽  
Nikos Hatziargyriou

In this paper, we investigate the economic benefits of an energy community investing in small-scale photovoltaics (PVs) when local energy trading is operated amongst the community members. The motivation stems from the open research question on whether a community-operated local energy market can enhance the investment feasibility of behind-the-meter small-scale PVs installed by energy community members. Firstly, a review of the models, mechanisms and concepts required for framing the relevant concepts is conducted, while a clarification of nuances at important terms is attempted. Next, a tool for the investigation of the economic benefits of operating a local energy market in the context of an energy community is developed. We design the local energy market using state-of-the-art formulations, modified according to the requirements of the case study. The model is applied to an energy community that is currently under formation in a Greek municipality. From the various simulations that were conducted, a series of generalizable conclusions are extracted.


2021 ◽  
Vol 23 (6) ◽  
pp. 3905-3914
Author(s):  
Jinkai Wang ◽  
Xin Cui ◽  
Jianxin Huang ◽  
Hao Wang ◽  
Zhanpeng Lu ◽  
...  

A relative importance analysis of various types of bonding through local energy and electronic structure was performed.


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