A system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes
From MaRDI portal
Publication:494528
DOI10.1016/J.AML.2015.02.021zbMath1326.35065OpenAlexW2044967023MaRDI QIDQ494528
Publication date: 1 September 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10722/226327
water wavesbreathersrogue wavesalgebraic solitonsextreme and rare events in physicsHirota bilinear transformationhyperbolic differential operators
Related Items (4)
Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation ⋮ Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers ⋮ Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system ⋮ Explicit solutions to a nonlocal 2-component complex modified Korteweg-de Vries equation
Cites Work
- Dust ion-acoustic rogue waves in a three-species ultracold quantum dusty plasmas
- Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Bilinear transformation method
- Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication
- Multi-rogue wave and multi-breather solutions in \(\mathcal{PT}\)-symmetric coupled waveguides
- Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems
- Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation
- On the evolution of packets of water waves
- The inverse scattering transform: Semi-infinite interval
- Stability of capillary–gravity interfacial waves between two bounded fluids
- A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations
- On three-dimensional packets of surface waves
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Oceanic Rogue Waves
- Comment on “Solitons, Bäcklund transformation, and Lax pair for the (2 + 1)-dimensional Boiti-Leon- Pempinelli equation for the water waves” [J. Math. Phys. 51, 093519 (2010)]
- Resonant gravity-wave interactions in a shear flow
- Exact envelope-soliton solutions of a nonlinear wave equation
This page was built for publication: A system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes
