Results 81 to 90 of about 51,663 (217)

Stability analysis for soliton solutions in a gauged CP(1) theory

, 2013
We analyze the stability of soliton solutions in a Chern-Simons-CP(1) model. We show a condition for which the soliton solutions are stable. Finally we verified this result numerically.Comment: 13 pages, numerical analysis is added.
Belavin A. A., LUCAS SOURROUILLE, Rajaraman R.   +2 more
core   +1 more source

Pulse Generation by On‐Chip Dispersion Compensation at 8 µm Wavelength

Laser &Photonics Reviews, EarlyView.
This work demonstrates on‐chip pulse generation at 8 μm$\mathrm{\mu}\mathrm{m}$ using chirped Bragg gratings in SiGe graded‐index photonic circuits to compensate the quadratic phase of quantum cascade laser frequency combs. With this approach pulses as short as 1.39 ps were produced, close to the transform limit, representing a key step toward compact,
Annabelle Bricout, Mathieu Bertrand, Philipp Täschler, Barbara Schneider, Victor Turpaud, Stefano Calcaterra, Davide Impelluso, Marco Faverzani, David Bouville, Jean‐René Coudevylle, Samson Edmond, Etienne Herth, Carlos Alonso‐Ramos, Laurent Vivien, Jacopo Frigerio, Giovanni Isella, Jérôme Faist, Delphine Marris‐Morini   +17 more
wiley   +1 more source

Variational Method for Studying Solitons in the KdV equation

, 1992
We use a class of trial wave functions which are generalizations of gaussians to study single soliton approximate analytic solutions to the KdV equations. The variational parameters obey a Hamiltonian dynamics obtained from the Principle of Least Action.
Carlo Lucheroni, Cooper, Cooper, Dirac, Drazin, Faddeev, Fred Cooper, Harvey Shepard, Jackiw, Pasquale Sodano   +9 more
core   +1 more source

New types of soliton solutions [PDF]

Bulletin of the American Mathematical Society, 1992
We announce a detailed investigation of limits of N-soliton solutions of the Korteweg-deVries (KdV) equation as N tends to infinity. Our main results provide new classes of KdV-solutions including in particular new types of soliton-like (reflectionless) solutions.
Gesztesy, F., Karwowski, W., Zhao, Z.
openaire   +2 more sources

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics

Laser &Photonics Reviews, EarlyView.
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi, Daniele Bonaldo, Simone Dal Zilio, Vittorio Apolloni, Filippo Romanato, Gianluca Ruffato   +5 more
wiley   +1 more source

The bilinear neural network method for solving Benney–Luke equation

Partial Differential Equations in Applied Mathematics
Benney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad   +3 more
doaj   +1 more source

Deriving N-soliton solutions via constrained flows

, 2000
The soliton equations can be factorized by two commuting x- and t-constrained flows. We propose a method to derive N-soliton solutions of soliton equations directly from the x- and t-constrained flows.Comment: 8 pages, AmsTex, no figures, to be published
Ablowitz M, Cao Cewen, Dubrovin B A, Eilbeck J C, Faddeev L D, Its A, Newell A C, Ragnisco O, Sklyanin E K, Sklyanin E K, Yunbo Zeng, Zeng Yunbo, Zeng Yunbo, Zeng Yunbo   +13 more
core   +1 more source

Optical‐to‐Microcomb Stability Transfer for Ultrastable Timing and Microwave/Millimeter‐Wave Generation

Laser &Photonics Reviews, EarlyView.
This work demonstrates a high‐fidelity stability transfer from an optical reference to a high‐repetition‐rate microcomb using a mode‐locked laser bridge. By employing electro‐optic sampling timing detection, femtosecond‐level synchronization and 10−18‐level fractional frequency stability are achieved.
Changmin Ahn, Junyong Choi, Daewon Suk, Hansuek Lee, Jungwon Kim   +4 more
wiley   +1 more source

Classification of the line-soliton solutions of KPII

, 2007
In the previous papers (notably, Y. Kodama, J. Phys. A 37, 11169-11190 (2004), and G. Biondini and S. Chakravarty, J. Math. Phys. 47 033514 (2006)), we found a large variety of line-soliton solutions of the Kadomtsev-Petviashvili II (KPII) equation.
Biondini G, Chakravarty S, Chakravarty S Kodama Y, Infeld E, Kadomtsev B B, Kasraoui A, Kodama Y, Matveev V B, Miwa T, Novikov S P, Postnikov A, Sarbarish Chakravarty, Sato M, Stanley R P, Yuji Kodama   +14 more
core   +1 more source