Rogue wave

About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.

Localized waves and interaction solutions to a (3+1)-dimensional generalized KP equation

Abstract: Based on the Hirota bilinear method and long wave limit, four kinds of localized waves, namely, solitons, lumps, breathers, and rogue waves are constructed for the(3+1)-dimensional generalized KP equation. N-soliton solutions are obtained by employing bilinear method, then breathers, two breathers and interaction breather solutions are obtained by selecting appropriate parameters on two-soliton solution and four-soliton solution. These breathers own different dynamic behaviors in the different planes. Taking a long wave limit on the two and four soliton solutions under special parameter constraints, one-order lumps and rogue waves, two-order lumps and rogue waves, and interaction solutions between lumps and rogue waves are derived. Applying the same method on the three soliton solution, interaction solutions between kink solitons with periodic solutions, lumps and rogue waves are constructed, respectively. The influence of parameters on the solution is analyzed. The propagation directions, phase shifts, energies and shapes for these solutions can be affected and controlled by the parameters. Moreover, graphics are presented to demonstrate the properties of the explicit analytical localized wave solutions.

Symmetric and asymmetric optical multipeak solitons on a continuous wave background in the femtosecond regime.

Abstract: We study symmetric and asymmetric optical multipeak solitons on a continuous wave background in the femtosecond regime of a single-mode fiber. Key characteristics of such multipeak solitons, such as the formation mechanism, propagation stability, and shape-changing collisions, are revealed in detail. Our results show that this multipeak (symmetric or asymmetric) mode could be regarded as a single pulse formed by a nonlinear superposition of a periodic wave and a single-peak (W-shaped or antidark) soliton. In particular, a phase diagram for different types of nonlinear excitations on a continuous wave background, including the unusual multipeak soliton, the W-shaped soliton, the antidark soliton, the periodic wave, and the known breather rogue wave, is established based on the explicit link between exact solution and modulation instability analysis. Numerical simulations are performed to confirm the propagation stability of the multipeak solitons with symmetric and asymmetric structures. Further, we unveil a remarkable shape-changing feature of asymmetric multipeak solitons. It is interesting that these shape-changing interactions occur not only in the intraspecific collision (soliton mutual collision) but also in the interspecific interaction (soliton-breather interaction). Our results demonstrate that each multipeak soliton exhibits the coexistence of shape change and conservation of the localized energy of a light pulse against the continuous wave background.