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 ...
The first-order rogue wave solutions of System (1) have been derived via the Hirota method [12]. With A1=A and A2=0, System (1) has been reduced to the AB system composed of one single slowly varying envelope and a wave-induced mean flow in a geophysical fluid for the baroclinic ...
We investigate an AB system, which can be used to describe marginally unstable baroclinic wave packets in a geophysical fluid. Using the generalized Darboux transformation, we obtain higher-order rogue wave solutions and analyze rogue wave propagation and interaction. We obtain ...
Approximate rogue wave solutions of the forced and damped nonlinear Schrödinger equation for water waves. Phys. Lett. A 376, 3057–3059. https://doi.org/10.1016/j.physleta.2012.05.063 (2012). 43. Longuet-Higgins, M. S. On the statistical distribution...
Some structures with two peaks in bright rogue wave and dark rogue wave are found in the coupled system, which are quite distinct from the well-known shapes one presented before. Furthermore, we construct some new explicit solutions, which can be used to describe the dynamics of non-...
These coefficients present no symmetry whatsoever, in the general case (of different wavenumbers). The possibility for coupled envelope (vector soliton) solutions to occur has been investigated. Although the CNLS equations are asymmetric and non-integrable, in principle, the system admits various ...
berry.ts biomes.ts challenge.ts daily-run.ts dialogue.ts egg-moves.ts egg.ts exp.ts gender.ts move.ts nature.ts pokeball.ts pokemon-evolutions.ts pokemon-forms.ts pokemon-level-moves.ts pokemon-species.ts pokemon-stat.ts splash-messages.ts status-effect.ts temp-battle-stat.ts...
The relative sign of P and Q determines the stability of plane-wave solutions to small periodic perturbations. This also implies that any solution whose amplitude is governed by Eq. (11) depends on the sign of PQ, which, in most of plasma systems, depends on system parameters. To this eff...
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 ...
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 coefficient related to the ...