Results 51 to 60 of about 51,663 (217)

Soliton Solutions for Quasilinear Schrödinger Equations [PDF]

Journal of Applied Mathematics, 2013
Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
openaire   +3 more sources

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

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

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

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

Solitons in 4d Wess-Zumino-Witten models -- Towards unification of integrable systems -- [PDF]

Open Communications in Nonlinear Mathematical Physics
We construct soliton solutions of the four-dimensional Wess-Zumino-Witten (4dWZW) model in the context of a unified theory of integrable systems with relation to the 4d/6d Chern-Simons theory.
Masashi Hamanaka, Shan-Chi Huang
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

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

Projector‐Induced Waveguide Encoded Lattices (ProWELs) with Optical Functionality: From Enhanced Fields of View (FOV) to 3D Data Encoding

Advanced Optical Materials, EarlyView.
We describe the fabrication of 3D polymeric waveguide architectures with tunability of waveguide diameter, lattice symmetry and long and short‐range order using an inexpensive (< $400 CAD) digital light projector. We demonstrate that Projector induced Waveguide Encoded Lattices (ProWELs) possess advanced functionality including tuneable Fields of View (
Kyle Stegman, Dusan Srdic, Fariha Mahmood, Kalaichelvi Saravanamuttu   +3 more
wiley   +1 more source