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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

Solutions for a q-generalized Schrödinger equation of entangled interacting particles

Alves, L.G.A.; Ribeiro, H.V.; Santos, M.A.F.; Mendes, R.S. - In: Physica A: Statistical Mechanics and its Applications 429 (2015) C, pp. 35-44

We report on the time dependent solutions of the q-generalized Schrödinger equation proposed by Nobre et al. (2011). Here we investigate the case of two free particles and also the case where two particles were subjected to a Moshinsky-like potential with time dependent coefficients. We work...

Persistent link: https://www.econbiz.de/10011264550

Existence, stability, and scattering of bright vortices in the cubic–quintic nonlinear Schrödinger equation

Caplan, R.M.; Carretero-González, R.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 7, pp. 1150-1171

that the vortex soliton is relatively narrow, which allows one to effectively split the full 2D equation into radial and … azimuthal 1D equations. A variational approach is used to predict the radial shape of the vortex soliton, using the radial … of the vortex soliton at the instability border – are compared to systematic 2D simulations. We also compare our findings …

Persistent link: https://www.econbiz.de/10011050183

Recurrent femtosecond pulse collapse in air due to plasma generation: numerical results

Mlejnek, M; Kolesik, M; Wright, E.M; Moloney, J.V - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 6, pp. 563-570

In this report we present numerical simulations of nonlinear pulse propagation in air to elucidate the physical mechanism underlying the experimentally observed long distance propagation of filaments. Simulations of the nonlinear Schrödinger equation for the electromagnetic field coupled to the...

Persistent link: https://www.econbiz.de/10011050226

Extended nonlinear waves in multidimensional dynamical lattices

Hoq, Q.E.; Gagnon, J.; Kevrekidis, P.G.; Malomed, B.A.; … - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 4, pp. 721-731

We explore spatially extended dynamical states in the discrete nonlinear Schrödinger lattice in two- and three-dimensions, starting from the anti-continuum limit. We first consider the “core” of the relevant states (either a two-dimensional “tile” or a three-dimensional “stone”),...

Persistent link: https://www.econbiz.de/10011050393

Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation

LeMesurier, Brenton J. - In: Mathematics and Computers in Simulation (MATCOM) 55 (2001) 4, pp. 503-517

The possibility of physically relevant singular solutions of the nonlinear Schrödinger equation with sustained dissipation into the singularity is considered through numerical study of a nonlinear dissipative regularisation and its small dissipation limit. A new form of such dissipative...

Persistent link: https://www.econbiz.de/10011050434

Statistical equilibrium states for the nonlinear Schrödinger equation

Jordan, Richard; Josserand, Christophe - In: Mathematics and Computers in Simulation (MATCOM) 55 (2001) 4, pp. 433-447

We review a recent mean-field statistical model of self-organization in a generic class of focusing, nonintegrable nonlinear Schrödinger (NLS) equations. Such equations provide natural prototypes for nonlinear dispersive wave turbulence. The main conclusion of the theory is that the...

Persistent link: https://www.econbiz.de/10011050855

Solitary wave solutions for a higher order nonlinear Schrödinger equation

Triki, Houria; Taha, Thiab R. - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 7, pp. 1333-1340

We consider a higher order nonlinear Schrödinger equation with third- and fourth-order dispersions, cubic–quintic nonlinearities, self steepening, and self-frequency shift effects. This model governs the propagation of femtosecond light pulses in optical fibers. In this paper, we investigate...

Persistent link: https://www.econbiz.de/10011051021

Quasi-stationary states of the NRT nonlinear Schrödinger equation

Toranzo, I.V.; Plastino, A.R.; Dehesa, J.S.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 18, pp. 3945-3951

With regards to the nonlinear Schrödinger equation recently advanced by Nobre, Rego-Monteiro, and Tsallis (NRT), based on Tsallis q-thermo-statistical formalism, we investigate the existence and properties of its quasi-stationary solutions, which have the time and space dependences...

Persistent link: https://www.econbiz.de/10011058176

Anomalous coalescence from a nonlinear Schroedinger equation with a quintic term: interpretation through Thompson's approach

Nassif, Cláudio; Silva, P.R. - In: Physica A: Statistical Mechanics and its Applications 334 (2004) 3, pp. 335-342

Inspired by models for A+A→A(0) reactions with non-Brownian diffusion, we suggest a possible analytical explanation for the phenomena of anomalous coalescence of bubbles found in one-dimension (1d) by Josserand and Rica through numerical work [Phys. Rev. Letters 78 (1997) 1215]. The...

Persistent link: https://www.econbiz.de/10011058953