Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation

Author(s):  
Yueyang Feng ◽  
Sudao Bilige
2021 ◽  
pp. 2150388
Author(s):  
Hongcai Ma ◽  
Huaiyu Huang ◽  
Aiping Deng

In recent years, soliton molecules have received reinvigorating scientific interests in physics and other fields. Soliton molecules have been successfully found in optical experiments. In this paper, we attribute the solutions of the (3+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation by employing the bilinear method. Based on the [Formula: see text]-soliton solutions, we establish the soliton molecules, asymmetric solitons and some novel hybrid solutions of this equation by means of the velocity resonance mechanism and the long wave limit method. Finally, we give dynamic graphs of soliton molecules, asymmetric solitons and some novel hybrid solutions.


2021 ◽  
pp. 2150174
Author(s):  
Hongcai Ma ◽  
Qiaoxin Cheng ◽  
Aiping Deng

In this paper, we investigate the soliton molecules, asymmetric soliton and some novel hybrid solutions for the isospectral B-type Kadomtsev–Petviashvili (BKP) equation based on a new resonance condition. The soliton molecules and asymmetric soliton of the isospectral BKP equation can be obtained by selecting the appropriate parameters. Based on velocity resonance, module resonance and long-wave limit method, we can obtain the interactions of soliton molecules, breather waves and lump waves. Finally, we give the graphic of soliton molecules, asymmetric soliton and some novel hybrid solutions, and give the dynamic behavior analysis.


Sensors ◽  
2021 ◽  
Vol 21 (6) ◽  
pp. 2084
Author(s):  
Kostas Nizamis ◽  
Alkinoos Athanasiou ◽  
Sofia Almpani ◽  
Christos Dimitrousis ◽  
Alexander Astaras

Recent advances in the field of neural rehabilitation, facilitated through technological innovation and improved neurophysiological knowledge of impaired motor control, have opened up new research directions. Such advances increase the relevance of existing interventions, as well as allow novel methodologies and technological synergies. New approaches attempt to partially overcome long-term disability caused by spinal cord injury, using either invasive bridging technologies or noninvasive human–machine interfaces. Muscular dystrophies benefit from electromyography and novel sensors that shed light on underlying neuromotor mechanisms in people with Duchenne. Novel wearable robotics devices are being tailored to specific patient populations, such as traumatic brain injury, stroke, and amputated individuals. In addition, developments in robot-assisted rehabilitation may enhance motor learning and generate movement repetitions by decoding the brain activity of patients during therapy. This is further facilitated by artificial intelligence algorithms coupled with faster electronics. The practical impact of integrating such technologies with neural rehabilitation treatment can be substantial. They can potentially empower nontechnically trained individuals—namely, family members and professional carers—to alter the programming of neural rehabilitation robotic setups, to actively get involved and intervene promptly at the point of care. This narrative review considers existing and emerging neural rehabilitation technologies through the perspective of replacing or restoring functions, enhancing, or improving natural neural output, as well as promoting or recruiting dormant neuroplasticity. Upon conclusion, we discuss the future directions for neural rehabilitation research, diagnosis, and treatment based on the discussed technologies and their major roadblocks. This future may eventually become possible through technological evolution and convergence of mutually beneficial technologies to create hybrid solutions.


2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Fanning Meng ◽  
Yongyi Gu

In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation into the complex differential equations by applying traveling wave transform and show that meromorphic solutions of these complex differential equations belong to class W, and then, we get exact solutions of these two (3+1)-dimensional equations.


1990 ◽  
Vol 147 (8-9) ◽  
pp. 472-476 ◽  
Author(s):  
C.R Gilson ◽  
J.J.C Nimmo
Keyword(s):  

Energies ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 3185 ◽  
Author(s):  
Shiyu Gan ◽  
Daniela Chrenko ◽  
Alan Kéromnès ◽  
Luis Le Moyne

Hybrid electric vehicles (HEVs) are very promising sustainable mobility solutions. Series, parallel and series-parallel (SP) seem to be three most promising architectures among the multitude of hybrid architectures, and it is possible to find them in a multi-applications such as the motorcycles, family-cars, hybrid city busses and sport cars. It is import to have a well configured model in order to develop the different control strategies (CsTs) for each application. Therefore, a multi-architecture/multi-application (MAMA) approach capable of identifying the most energy efficient hybrid architecture considering both the dimensions of key components: electric motor (EM), battery, internal combustion engine (ICE) and the optimal control is presented. Basis of the model is the energetic macroscopic representation (EMR), which has been combined with object oriented programming (OOP) in order to enhance its modularity and reuse capabilities. The obtained results show, that different hybrid architectures are most adapted for different applications. Moreover, the robustness of the results using real time control algorithms are studied, showing that CsT matters. The obtained results contribute to simplify and harmonize the design of hybrid solutions for multiple applications.


Sign in / Sign up

Export Citation Format

Share Document