Results 31 to 40 of about 275,450 (166)

Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity [PDF]

, 2002
We study the existence and stability of localized states in the discrete nonlinear Schr{\"o}dinger equation (DNLS) on two-dimensional non-square lattices. The model includes both the nearest-neighbor and long-range interactions.
A. Aceves, A. Campa, A. De Rossi, B. A. Malomed, B.A. Malomed, B.A. Malomed, B.L. Swanson, D. Bonart, D. Hennig, D.N. Christodoulides, E. Trias, E.W. Laedke, G. Kalosakas, G. Kopidakis, G. Kopidakis, G. Kopidakis, H. Eisenberg, I.V. Barashenkov, J. Broeng, J. Carr, J. Pouget, J.-C. van der Meer, J.C. Eilbeck, J.C. Eilbeck, J.L. Marin, L. Cruzeiro, M. Johansson, M. Johansson, M. Peyrard, M. Peyrard, O.M. Braun, P. Binder, P. G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, P.G. Kevrekidis, R. Atencio, R. Morandotti, R.S. MacKay, S. Aubry, S. Darmanyan, S. Flach, S. Flach, S. Flach, S. Takeno, S.A. Kiselev, S.F. Mingaleev, S.M. Jensen, T. Dauxois, T. Dauxois, U.T. Schwarz, V.M. Burlakov, Yu. B. Gaididei   +55 more
core   +3 more sources

Two-dimensional matter-wave solitons and vortices in competing cubic-quintic nonlinear lattices

, 2017
The nonlinear lattice---a new and nonlinear class of periodic potentials---was recently introduced to generate various nonlinear localized modes. Several attempts failed to stabilize two-dimensional (2D) solitons against their intrinsic critical collapse
Gao, Xuzhen, Zeng, Jianhua
core   +1 more source

Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

, 2014
We present determinant expressions for vector rogue wave solutions of the Manakov system, a two-component coupled nonlinear Schr\"odinger equation. As special case, we generate a family of exact and non-symmetric rogue wave solutions of the nonlinear ...
Chabchoub, Amin, Guo, Lijuan, He, Jingsong, Zhang, Yongshuai   +3 more
core   +2 more sources

Self-similar solutions with compactly supported profile of some nonlinear Schrödinger equations [PDF]

, 2013
International audienceThis paper deals with the study of ''\textit{sharp localized}'' solutions of a nonlinear type Schrödinger equation in the whole space $\R^N,$ $N\ge1,$ with a zero order term, in modulus, like a power $m$ less than one of the modulus
Bégout, Pascal, Díaz, Jesús Ildefonso
core   +10 more sources

Three-Dimensional Propagation of Magnetohydrodynamic Waves in Solar Coronal Arcades [PDF]

, 2010
We numerically investigate the excitation and temporal evolution of oscillations in a two-dimensional coronal arcade by including the three-dimensional propagation of perturbations.
Arregui, Aschwanden, Halberstadt, I. Arregui, J. L. Ballester, J. Terradas, Oliver, Oliver, Poedts, Poedts, R. Oliver, Ruderman, S. Rial, Terradas, Terradas, Terradas, Tsubaki, Čadež, Čadež   +18 more
core   +1 more source

Surface solitons in trilete lattices

, 2011
Fundamental solitons pinned to the interface between three semi-infinite one-dimensional nonlinear dynamical chains, coupled at a single site, are investigated.
A. Maluckov, Abdullaev, Adhikari, Akhmediev, Albuch, B.A. Malomed, Birnbaum, Bludov, Brazhnyi, Cao, Carretero-González, Chong, Christodoulides, Chu, Cornish, Driben, Dror, Eilbeck, Garanovich, Gligorić, Gligorić, Gubeskys, Gubeskys, Gubeskys, Gubeskys, Hadžievski, Hadžievski, He, He, Heinrich, Heinrich, Herring, Hoq, Hung, Kartashov, Kartashov, Kaup, Kaup, Królikowski, Lj. Hadžievski, M. Stojanović, Maimistov, Mak, Mak, Makris, Malomed, Malomed, Malomed, Matuszewski, Miroshnichenko, Molina, Molina, Molina, Morandotti, Paré, Peschel, Rosberg, Sigler, Sivan, Siviloglou, Smirnov, Snyder, Soto-Crespo, Suntsov, Szameit, Szameit, Szameit, Szameit, Tamm, Trippenbach, Wright, Ye   +71 more
core   +1 more source

Three-dimensional hybrid vortex solitons [PDF]

, 2014
We show, by means of numerical and analytical methods, that media with a repulsive nonlinearity which grows from the center to the periphery support a remarkable variety of previously unknown complex stationary and dynamical three-dimensional solitary ...
Driben, Rodislav, Kartashov, Yaroslav V., Malomed, Boris A., Meier, Torsten, Torner, Lluis   +4 more
core   +3 more sources

Radiationless travelling waves in saturable nonlinear Schrödinger lattices [PDF]

, 2006
The longstanding problem of moving discrete breathers (intrinsic localised modes) in nonlinear Schrödinger lattices is revisited. The context is photorefractive crystal lattices with saturable nonlinearity whose generalised Peierls-Nabarro barrier ...
Champneys, AR, Cuevas, J, Kevrekidis, PG, Melvin, TRO   +3 more
core   +2 more sources

Stationary discrete solitons in circuit QED [PDF]

, 2014
We demonstrate that stationary localized solutions (discrete solitons) exist in a one dimensional Bose-Hubbard lattices with gain and loss in the semiclassical regime.
García-Ripoll, Juan José, Naether, Uta, Quijandría, Fernando, Zueco, David   +3 more
core   +3 more sources

Uncovering the stochastic dynamics of solitons of the Chaffee–Infante equation

Scientific Reports
In this paper, we apply stochastic differential equations with the Wiener process to investigate the soliton solutions of the Chaffee–Infante (CI) equation.
Shabir Ahmad, Nidhal Becheikh, Lioua Kolsi, Taseer Muhammad, Zubair Ahmad, Mohammad Khalid Nasrat   +5 more
doaj   +1 more source