We apply the bifurcation theory for planar dynamical systems to the 2D Ginzburg–Landau
equation. We construct all the possible traveling wave solutions, some of which are …

In this paper, a novel identical reforming of differential equation and the Exp-function
methods are used to construct solitary solutions and periodic solutions of (2+ 1)-dimensional …

A construction of new exact periodic wave and solitary wave solutions for the 2D Ginzburg–Landau
equation | Nonlinear Dynamics Skip to main content Springer Nature Link Account Menu Find …

We investigated the modulational instability (MI) of symmetric and asymmetric continuous-
wave (CW) solutions in a model of a laser based on a dual-core nonlinear optical fiber. The …

Comprehensive numerical simulations (reviewed in Dissipative Solitons, Akhmediev and
Ankiewicz (Eds.), Springer, Berlin, 2005) of pulse solutions of the cubic–quintic Ginzburg …

Many physical systems are commonly expressed as collections of conservation laws which
are described by 2× 2 hyperbolic partial differential equations (PDEs). To address the …

A novel soliton solution of the famous 2D Ginzburg-Landau equation is obtained. A powerful
Sine-Gordon expansion method is used for acquiring soliton solutions 2D Ginzburg-Landau …

Using a variational formulation for partial differential equations combined with numerical
simulations on ordinary differential equations (ODEs), we find two categories (pulses and …

This paper considers the laminar to turbulent transition of pressure-gradient driven
Poiseuille flow in a plane channel system rotating with some angular speed under the …

In this letter, 2D cubic-quintic Ginzburg-Landau equation with diffractive-diffusive terms and
normal dispersion is considered, exact solutions including solitary wave solutions, kink wave …