1. ABSTRACT Novel mass sensors based on parametric resonance can achieve high sensitivity because of the sharp transition from zero to large response. Unlike harmonic resonance based mass sensors, the sensitivity of this novel class of sensors will not be affected by damping. However, the presence of nonlinearity in the spring and electrostatic force of the oscillator significantly change the b...

Using the path-integral technique we examine the mutual information for the communication channel modelled by the nonlinear Schrödinger equation with additive Gaussian noise. The nonlinear Schrödinger equation is one of the fundamental models in nonlinear physics, and it has a broad range of applications, including fiber optical communications — the backbone of the Internet. At large signal-to-...

Stationary structures in a classical isotropic two-dimensional continuous Heisenberg ferromagnetic spin system are studied in the framework of the (2 + 1)-dimensional Landau–Lifshitz model. It is established that in the case of ~ S(~r, t) = ~ S(~r − ~vt) the Landau–Lifshitz equation is closely related to the Ablowitz–Ladik hierarchy. This relation is used to obtain soliton structures, which are...

Pointing out the difference between the Discrete Nonlinear Schrödinger equation with the classical power law nonlinearity-for which solutions exist globally, independently of the sign and the degree of the nonlinearity, the size of the initial data and the dimension of the lattice-we prove global nonexistence in time, for the Discrete Klein-Gordon equation with the same type of nonlinearity (bu...

The modified decomposition method has been implemented for solving a coupled Klein-Gordon Schrödinger equation. We consider a system of coupled Klein-Gordon Schrödinger equation with appropriate initial values using the modified decomposition method. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions of coupled Klein-Gordon Schr...

We study the dynamics of localized pulses in complex cubic–quintic Ginzburg–Landau (GL) equation with strong nonlinearity management. The generalized GL equation, averaged over rapid modulations nonlinearity, is derived. employ variational approach to this derive a dynamical system for dissipative soliton parameters. By using numerical simulations and full GP we show that nonlinearity-managed s...

A Hamiltonian system is studied which has a term approaching a constant at an exponential rate at infinity . A minimax argument is used to show that the equation has a positive homoclinic solution. The proof employs the interaction between translated solutions of the corresponding homogeneous equation. What distinguishes this result from its few predecessors is that the equation has a nonhomoge...