## Search

Now showing items 1-10 of 43

#### Resonance solitons as black holes in Madelung fluid

(World Scientific Publishing, 2002-08)

Envelope solitons of the Nonlinear Schrödinger equation (NLS) under quantum potential's influence are studied. Corresponding problem is found to be integrable for an arbitrary strength, s ≠ 1, of the quantum potential. For ...

#### Vector shock soliton and the Hirota bilinear method

(Elsevier, 2005-10)

The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, ...

#### On a 2+1-dimensional Whitham-Broer-Kaup system: A resonant NLS connection

(Wiley-Blackwell, 2011-08)

It is established that the Whitham-Broer-Kaup shallow water system and the "resonant" nonlinear Schrödinger equation are equivalent. A symmetric integrable 2+1-dimensional version of the Whitham-Broer-Kaup system is ...

#### From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves

(IOP Publishing, 2016-10)

We extend the concept of q-analytic function in two different directions. First we find expansion of q-binomial in terms of q-Hermite polynomials, analytic in two complex arguments. Based on this representation, we introduce ...

#### Entanglement in two qubit magnetic models with dm antisymmetric anisotropic exchange interaction

(World Scientific Publishing, 2010-03)

In the present paper, an influence of the anisotropic antisymmetric exchange interaction, the DzialoshinskiiMoriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model ...

#### Quantum calculus of classical vortex images, integrable models and quantum states

(IOP Publishing, 2016-10)

From two circle theorem described in terms of q-periodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular N-vortex polygon we find compact expression ...

#### Variations on a theme of q-oscillator

(IOP Publishing, 2015-07-01)

We present several ideas in the direction of physical interpretation of q- and f-oscillators as nonlinear oscillators. First we show that an arbitrary one-dimensional integrable system in action-angle variables can be ...

#### Q-analog of shock soliton solution

(IOP Publishing, 2010-11)

Based on Jackson's q-exponential function, we introduce a q-analog of Hermite and Kampe de Feriet polynomials. It allows us to introduce and solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary ...

#### Envelope soliton resonances and broer-kaup-type non-madelung fluids

(Springer, 2012-08)

We derive an extended nonlinear dispersion for envelope soliton equations and also find generalized equations of the nonlinear Schrödinger (NLS) type associated with this dispersion. We show that space dilatations imply ...

#### Exact solutions of forced Burgers equations with time variable coefficients

(Elsevier, 2013-07)

In this paper, we consider a forced Burgers equation with time variable coefficients of the form Ut+(μ̇(t)/μ(t))U+UUx=(1/2μ(t))Uxx-ω2(t)x, and obtain an explicit solution of the general initial value problem in terms of a ...