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Ultracold atoms in 1D optical lattices: mean field, quantum field, computation, and soliton formation

Mishmash, R.V.; Carr, L.D. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 4, pp. 732-740

states. Using a truncated form of these mean-field states as initial conditions, we build quantum analogs to the dark soliton …

Persistent link: https://www.econbiz.de/10011050845

Domain walls of single-component Bose–Einstein condensates in external potentials

Kevrekidis, P.G.; Malomed, B.A.; Frantzeskakis, D.J.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 3, pp. 334-345

We demonstrate the possibility of creating domain walls described by a single component Gross–Pitaevskii equation with attractive interactions, in the presence of an optical–lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external...

Persistent link: https://www.econbiz.de/10011050961

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Theocharis, G.; Frantzeskakis, D.J.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 537-552

soliton. Analytical results, based on perturbation techniques, for the motion of the dark soliton are obtained and compared to … may capture and drag a dark soliton. …

Persistent link: https://www.econbiz.de/10011050965

Domain-wall crosses and propellers in binary Bose–Einstein condensates

Malomed, B.A.; Nistazakis, H.E.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 3, pp. 400-412

For two-dimensional condensates, we introduce patterns formed by intersection of domain-walls (DWs) between immiscible species. Both symmetric and asymmetric cases are investigated, with equal or different numbers N1,2 of atoms in the two species. The case of a rotating trap is considered too....

Persistent link: https://www.econbiz.de/10011051250

Multisoliton solutions and stability aspects of higher order discrete nonlinear Schrödinger equation governing protein dynamics

Saravana Veni, S.; Latha, M.M. - In: Physica A: Statistical Mechanics and its Applications 413 (2014) C, pp. 94-103

We propose a discrete model of alpha-helical proteins by taking into account dipole and quadrupole type molecular excitations. The interaction properties of multisolitons are studied both analytically and numerically. We investigate the conditions for the modulation instability (MI) of plane...

Persistent link: https://www.econbiz.de/10011057584

Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field

Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Meng, Xiang-Hua - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 3, pp. 367-374

to the linear eigenvalue problem associated with this equation, and obtain the multi-soliton solution with a purely …, although the amplitude, width and depth of soliton vary periodically with time and its symmetry property is changeable, the … soliton can also propagate stably and it possesses particle-like behavior. …

Persistent link: https://www.econbiz.de/10011057776

Darboux transformation and soliton solutions for the (2+1)-dimensional nonlinear Schrödinger hierarchy with symbolic computation

Zhang, Hai-Qiang; Tian, Bo; Li, Li-Li; Xue, Yu-Shan - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 1, pp. 9-20

nonlinear Schrödinger hierarchy. The general explicit formula for N-soliton solution is derived in terms of Vandermonde …-like determinant expression. On the zero background, two different families of soliton solutions (multi-line soliton and multi …-parabola soliton solutions) are constructed by applying the Darboux transformation successively. Based on the figures for several …

Persistent link: https://www.econbiz.de/10011058510

Nonlinear excitations in a disordered alpha-helical protein chain

Saravana Veni, S.; Latha, M.M. - In: Physica A: Statistical Mechanics and its Applications 407 (2014) C, pp. 76-85

We investigate the dynamics of alpha-helical proteins with dipole and quadrupole type molecular excitations. Performing the symbolic computation on the iterative algorithm of Darboux transformation, we present the multisoliton solutions for the resulting fourth order nonlinear Schrödinger (NLS)...

Persistent link: https://www.econbiz.de/10011062281

The exact solution to Boussinesq equation through a limiting procedure

Zhang, Yi; Chen, Deng-yuan; Li, Zhi-bin - In: Physica A: Statistical Mechanics and its Applications 373 (2007) C, pp. 174-182

transformation, it always has another set of new N-soliton solution by performing an appropriate limiting procedure on the already …

Persistent link: https://www.econbiz.de/10011063764

Soliton excitations in a three-spine alpha-helical protein chain with quintic non-linearity

Saravana Veni, S.; Latha, M.M. - In: Physica A: Statistical Mechanics and its Applications 396 (2014) C, pp. 29-41

it. In addition, we study the modulation instability aspects and obtain the conditions for soliton formation. …

Persistent link: https://www.econbiz.de/10011063851