Designing a Communication Field with a Transformation Method

2018 ◽  
Vol 30 (6) ◽  
pp. 943-949
Author(s):  
Xiangyang Lu ◽  
Ling Ouyang ◽  
Lijuan Sun ◽  
Jin Hu ◽  
Lijuan Jia ◽  
...  
Keyword(s):  
Direct Method ◽  
Transformation Method ◽  
The State ◽  
Network System ◽  
Local Dynamic ◽  
Dynamic Parameters ◽  
State Distribution ◽  
Network Systems ◽  
Physical Fields ◽  
A Direct Method

The transformation method that was originally used to tailor the physical fields into desired spatial patterns by designing material parameters is used herein to obtain necessary local dynamic parameters when the state distribution of a network system is prescribed in space. This constitutes a typical inverse problem that controls the state distribution of a complex network by designing its local dynamic parameters. Thus, it is difficult to obtain a direct solution. This coordinate transformation provides a direct method. The feasibility of this method is demonstrated and verified by two examples (a communication field bender and a communication field cloak) in corresponding network systems.

On the Camassa–Holm equation and a direct method of solution. III. N -soliton solutions

2005 ◽  
Vol 461 (2064) ◽  
pp. 3893-3911 ◽  
Author(s):  
Allen Parker
Keyword(s):  
Soliton Solution ◽  
Direct Method ◽  
Soliton Solutions ◽  
Transformation Method ◽  
Bilinear Transformation ◽  
Standard Representation ◽  
Method Of Solution ◽  
A Direct Method ◽  
Multisoliton Solutions ◽  
Extra Parameter

In the concluding study (designated III), we modify the direct bilinear transformation method for solving the Camassa–Holm (CH) equation that was set down in part II of this work. We demonstrate its efficacy for finding analytic multisoliton solutions of the equation and give explicit expressions for the first few solitons. It is shown that, at each order N , the N -soliton has a non-standard representation that is characterized by an ‘extra’ parameter. The stucture of this parameter is investigated and a procedure for constructing the general N -soliton solution of the CH equation is presented.

On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions

2005 ◽  
Vol 461 (2063) ◽  
pp. 3611-3632 ◽  
Author(s):  
Allen Parker
Keyword(s):  
Direct Method ◽  
Soliton Solutions ◽  
Transformation Method ◽  
Additional Parameter ◽  
Bilinear Transformation ◽  
Structure And Dynamics ◽  
Method Of Solution ◽  
A Direct Method ◽  
Multisoliton Solutions ◽  
Key Parameter

Previous attempts to find explicit analytic multisoliton solutions of the general Camassa–Holm (CH) equation have met with limited success. This study (which falls into two parts, designated II and III) extends the results of the prior work (I) in which a bilinear form of the CH equation was constructed and then solved for the solitary-wave solutions. It is shown that Hirota's bilinear transformation method can be used to derive exact multisoliton solutions of the equation in a systematic way. Here, analytic two-soliton solutions are obtained explicitly and their structure and dynamics are investigated in the different parameter regimes, including the limiting ‘two-peakon’ form. The solutions possess a non-standard representation that is characterized by an additional parameter, and the structure of this key parameter is examined. These results pave the way for constructing the hallmark N -soliton solutions of the CH equation in part III.

scholarly journals Plastic waste to fuels by hydrocracking at mild conditions

2021 ◽  
Vol 7 (17) ◽  
pp. eabf8283
Author(s):  
Sibao Liu ◽  
Pavel A. Kots ◽  
Brandon C. Vance ◽  
Andrew Danielson ◽  
Dionisios G. Vlachos
Keyword(s):  
Direct Method ◽  
Acid Sites ◽  
Liquid Fuels ◽  
High Yield ◽  
Tandem Catalysis ◽  
Hy Zeolite ◽  
Environmental Threat ◽  
Single Use ◽  
Initial Activation ◽  
A Direct Method

Single-use plastics impose an enormous environmental threat, but their recycling, especially of polyolefins, has been proven challenging. We report a direct method to selectively convert polyolefins to branched, liquid fuels including diesel, jet, and gasoline-range hydrocarbons, with high yield up to 85% over Pt/WO3/ZrO2 and HY zeolite in hydrogen at temperatures as low as 225°C. The process proceeds via tandem catalysis with initial activation of the polymer primarily over Pt, with subsequent cracking over the acid sites of WO3/ZrO2 and HY zeolite, isomerization over WO3/ZrO2 sites, and hydrogenation of olefin intermediates over Pt. The process can be tuned to convert different common plastic wastes, including low- and high-density polyethylene, polypropylene, polystyrene, everyday polyethylene bottles and bags, and composite plastics to desirable fuels and light lubricants.

scholarly journals Planning for a neighborhood and city-scale green network system in Qatar: the case of MIA Park

2021 ◽  
Author(s):  
Raffaello Furlan ◽  
Brian R. Sinclair
Keyword(s):  
Urban Landscape ◽  
Single Case ◽  
Landscape Fragmentation ◽  
The State ◽  
Network System ◽  
Design Strategies ◽  
Structured Interviews ◽  
Main Mode ◽  
The Past ◽  
Neighborhood Scale

AbstractIn the past decade, Doha has witnessed fast-urban growth, an increased population rate, and an over-reliance on the automobile as the main mode of urban transportation. These factors caused social and environmental problems related to (1) the loss of a compact urban pattern, (2) an increased level of air pollution (3) high traffic congestions and (4) increasing landscape fragmentation. In consideration of such concerns, The State of Qatar invested large funds into the urban landscape development of Doha, as envisioned by Qatar National Vision 2030. As a result, in the past five years various parks and/or green areas, such MIA Park, a major public green space located around the Museum of Islamic Art (MIA), were planned and developed within metropolitan Doha. The authors argue that this park is currently facing issues and challenges related to (1) accessibility to/from the neighboring districts, and (2) connectivity to/from the neighboring parks. Therefore, this research study aims at assessing the existing conditions of MIA Park, at considering the broader city context and, at recommending strategies for implementing MIA Park’s green network system. It approached the investigative challenge using a multi-pronged comprehensive methodology, that deployed focus groups, semi-structured interviews and a comprehensive network analysis based on graph theory. The findings, revealed through these hybrid research tactics, allowed the researchers to generate a framework to enhance accessibility and connectivity of MIA Park through a green network system, planned at inter-related neighborhood-scale and city-scale levels. While the research examines most notably a single case, it is advocated that the proposed framework represents not just an optional feature pertaining to the case in Doha, but a valuable reference for the sustainable master planning of future cities in the State of Qatar and across the GCC. The paper proffers numerous key contributions, including the critical exploration of manufactured landscapes in Doha Qatar and the delineation of broadly applicable environmental design strategies to improve the fabric and livability of cities.

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