We prove well-posedness results for stochastic nonlinear Schrödinger equations with linear multiplicative Wiener noise including the non-conservative case. Our approach is different from the standard literature on stochastic nonlinear Schrödinger equations. By a rescaling transformation we reduce the stochastic equation to a random nonlinear Schrödinger equation with lower order terms and treat...

In this paper, we find the exact solutions of some nonlinear evolution equations by using ( ′ G )expansion method. Four nonlinear models of physical significance i.e. the symmetric regularized longwave equation, the Klein-Gordon-Zakharov equations, the Burgers-Kadomtsev-Petviashvili equation and the nonlinear Schrödinger equation with a cubic nonlinearity are considered and obtained their exact...

Irrotational ow of a spherical thin liquid layer surrounding rigid core is described using the defocusing nonlinear Schrodinger equation. Accordingly, azimuthal moving waves are modeled by periodic dark solitons expressed elliptic functions. In quantum regime algebraic Bethe ansatz used in order to capture energy levels such motions, which we expect be relevant for dynamics nuclear clusters def...

A lattice Boltzmann model for convection-diffusion equation with nonlinear convection and isotropic-diffusion terms is proposed through selecting equilibrium distribution function properly. The model can be applied to the common real and complex-valued nonlinear evolutionary equations, such as the nonlinear Schrödinger equation, complex Ginzburg-Landau equation, Burgers-Fisher equation, nonline...

Actually, in general dimension n ≥ 2, the magnetic field B is a 2-form where Bi,j = ∂jAk − ∂kAj ; in the case n = 3, B = curlA. The function U : R → R represents an electric potential. In the sequel, for the sake of simplicity, we limit ourselves to the particular case in which f(x, t) = K(x)|t|t, with p > 1 if n = 2 and 1 < p < n+2 n−2 if n ≥ 3. It is now well known that the nonlinear Schrödin...