rogue wave solutions. The first- and second-order rogue wave solutions are shown, where our first-order rogue waves are different from those in the existing literatures. The two short waves and mean flow are related to the coefficient of the nonlinear term under certain conditions; the ...
In this paper, by the Darboux transformation, we get the vector rogue wave solutions of the coupled cubic–quintic nonlinear Schrödinger equations with variable coefficients, which come from twin-core nonlinear optical fibers and waveguides, describing the effects of quintic nonlinearity on the ultra...
The Andrea rogue wave was measured by Conoco on 9 November 2007 with a system of four Teledyne Optech lasers mounted in a square array on the Ekofisk platform in the North Sea in a water depth d = 74 m4,5. The metocean conditions of the Andrea wave are similar to those of...
On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation We discuss multi-Peregrine breather solutions to the nonlinear Schr枚dinger equations which are relevant in the description of rogue waves in hydrodynamics... P Dubard,P Gaillard,C Klein,... - 《Europea...
In this work, numerous rogue wave solution strategy (MRWSS) agreeing to the Hirota bilinear hypothesis is utilized. The said strategy to build different soliton wave solutions for the generalized Hirota-Satsuma-Ito (GHSI) condition is considered. These numerous soliton wave solutions incorporate first...
In addition, it is assumed that the system has stationary negatively/or positively charged dust grains with Semi-analytical RW and breathers solutions to the CNLSE Equation (10) in (X,T)−frame is not a completely integrable due to the presence of the geometrical attenuation term (Ψ/2T)....
rogue wave solutions of the AB system are obtained via the determinants. It is found that the rogue waves can be split into several small ones with the proper parameter selections, and moreover within the splits the peak values of the rogue waves remain unchanged. Besides, we demonstrate ...
In this paper, we study rogue wave solutions of the AB system under the background of Jacobian elliptic functions. First, we introduce the Jacobian elliptic functions do and cn through traveling wave transformation. Next, we derive the expression of spectral parameters lambda and rogue wave with ...
In this manuscript, we consider a coupled AB system, which describes the baroclinic instability processes in the geophysical flows. Darboux-dressing transformation is used to derive the bright-dark soliton, breather and semirational rogue wave solutions for such a system. We observe that type of ...
In this manuscript, we consider a coupled AB system, which describes the baroclinic instability processes in the geophysical flows. Darboux-dressing transformation is used to derive the bright-dark soliton, breather and semirational rogue wave solutions for such a system. We observe that type of ...