Results 51 to 60 of about 51,683 (232)

Young diagrams and N-soliton solutions of the KP equation

, 2004
We consider $N$-soliton solutions of the KP equation, (-4u_t+u_{xxx}+6uu_x)_x+3u_{yy}=0 . An $N$-soliton solution is a solution $u(x,y,t)$ which has the same set of $N$ line soliton solutions in both asymptotics $y\to\infty$ and $y\to -\infty$.
Biondini G, Gantmacher F R, Griffiths P, Hirota R, Infeld E, Kadomtsev B B, Pashaev O K Yerbag-Francisco M L, Sato M, Yuji Kodama   +8 more
core   +1 more source

The Geometrodynamics of Sine-Gordon Solitons [PDF]

, 1998
The relationship between N-soliton solutions to the Euclidean sine-Gordon equation and Lorentzian black holes in Jackiw-Teitelboim dilaton gravity is investigated, with emphasis on the important role played by the dilaton in determining the black hole ...
A. Ashtekar, C. G. Torre, D. Louis-Martinez, G. Kunstatter, G. Kunstatter, J. Gegenberg, J. Gegenberg, J. Gegenberg, J. P. S Lemos, J. P. S. Lemos, K. Kuchar, L. A. Takhtadzhyan, L. Dolan, L. J. Boya, M. Banados, M. Banados, M. Banados, O. Babelon, P. A. M. Dirac, P. J. Caudrey, R. B. Mann, S. Bose, S. Carlip, S. Ramanujan   +23 more
core   +2 more sources

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

Embedded Soliton Solutions: A Variational Study

Acta Physica Polonica A, 2008
We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.
Pal, Debabrata, Ali, Sk. Golam, Talukdar, B.   +2 more
openaire   +2 more sources

Observation of Relativistic Domain Wall Motion in Amorphous Ferrimagnets

Advanced Functional Materials, EarlyView.
Domain walls in ferrimagnets and antiferromagnets move as relativistic sine‐Gordon solitons, with the spin‐wave velocity setting their speed limit. Such relativistic domain‐wall motion is demonstrated in amorphous GdFeCo near angular momentum compensation, where current‐driven walls reach 90% of the 2 kms−1 spin‐wave speed, enabling ultrafast, device ...
Pietro Diona, Luca Maranzana, Sergey Artyukhin, Giacomo Sala   +3 more
wiley   +1 more source

Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii–Kadomtsev–Petviashvili equation

Advances in Difference Equations, 2020
This paper investigates the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation by using Hirota’s direct method and the Kadomtsev–Petviashvili (KP) hierarchy reduction method.
Wenjuan Rui, Yufeng Zhang
doaj   +1 more source

Numerical Solitons of Generalized Korteweg-de Vries Equations

, 2005
We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We
Camassa, Fokas, Gardner, Houde Han, Rosenau, Rosenau, Zabusky, Zhenli Xu   +7 more
core   +2 more sources

Yang-Baxter and reflection maps from vector solitons with a boundary [PDF]

, 2014
Based on recent results obtained by the authors on the inverse scattering method of the vector nonlinear Schr\"odinger equation with integrable boundary conditions, we discuss the factorization of the interactions of N-soliton solutions on the half-line.
Ablowitz M, Ablowitz M J, Caudrelier V, Faddeev L, Gerdjikov V S, Manakov S V, Mintchev M, Q C Zhang, Sklyanin E, V Caudrelier, Veselov A P   +10 more
core   +2 more sources

Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries

Advanced Functional Materials, EarlyView.
Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du, Kaidi Zhang, Liang Wang, Di Zhao, Mengqing Hu, Mingli Li, Ming Zhou, Zhenzhen Wu, Mengyang Dong, Bo Fu, Porun Liu, Yun Wang, Hongxia Wang, Yuantong Gu, Lei Zhang   +14 more
wiley   +1 more source

Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations

Mathematical Modelling and Analysis, 2014
In this paper, we obtained the 1-soliton solutions of the (2+1)-dimensional Boussinesq equation and the Camassa–Holm–KP equation. By using a solitary wave ansatz in the form of sechp function, we obtain exact bright soliton solutions and another wave ...
Ahmet Bekir, Adem C. Cevikel, Ozkan Guner, Sait San   +3 more
doaj   +1 more source