The problem of the modulational instability (MI) of electron-acoustic waves (EAWs) in a plasma with Cairns–Tsallis distributed electrons is addressed. Using the standard multiple scale method, we derive a nonlinear Schrödinger-like equation. Electron nonextensivity and nonthermality are found...

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...

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...

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...

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...

Negative differential conductivity in superlattices leads to the growth of inevitable spatial fluctuations. The spatially homogeneous electron distribution then becomes unstable, and a propagating electron accumulation-layer domain is formed. It is shown that envelopes of the wave functions are...

New exact solutions for the higher-order nonlinear Schrödinger equation and coupled higher-order nonlinear Schrödinger equations are obtained by using the generalized Jacobi elliptic function method. Solutions in the limiting cases are also studied.

In this paper we generalize a canonical model, recently proposed by us [Phys. Rew. E 58 (1998) 5574 and Phys. A 255 (1998) 474], describing a quantum system of particles obeying to a exclusion–inclusion principle. In the new model the system is coupled in a minimal fashion with an Abelian...

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)...

We calculate the response of a two-level system to a monochromatic excitation in the framework of a nonlinear homogeneous dissipative generalization of the Schrödinger equation. Non-Lorentzian dependences of the real and imaginary parts of the dynamical response function on the frequency are...