Generation of short-lived large-amplitude magnetohydrodynamic pulses by dispersive focusing
From MaRDI portal
Publication:641506
DOI10.1016/j.physleta.2008.08.025zbMath1223.76134OpenAlexW2145705624MaRDI QIDQ641506
V. Fedun, R. Erdélyi, Michael S. Ruderman
Publication date: 21 October 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2008.08.025
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items
Space periodic solutions and rogue wave solution of the derivative nonlinear Schrödinger equation ⋮ Rogue waves in Alfvénic turbulence ⋮ Dynamics of breathers and rogue waves in scalar and multicomponent nonlinear systems ⋮ Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrödinger equation ⋮ Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮ Degeneracy in bright-dark solitons of the derivative nonlinear Schrödinger equation ⋮ Derivative non-linear Schrödinger equation: singular manifold method and Lie symmetries ⋮ Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation ⋮ Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation ⋮ The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation ⋮ PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background ⋮ Then-order rogue waves of Fokas-Lenells equation
Cites Work
- Nonlinear wave focusing on water of finite depth
- The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
- Physical mechanisms of the rogue wave phenomenon.
- Nonlinear-dispersive mechanism of the freak wave formation in shallow water
- Two-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
- Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
- Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
- A Generalization of Inverse Scattering Method
- Inverse Method for the Mixed Nonlinear Schrödinger Equation and Soliton Solutions
- Short‐Lived Large‐Amplitude Pulses in the Nonlinear Long‐Wave Model Described by the Modified Korteweg–De Vries Equation
- An exact solution for a derivative nonlinear Schrödinger equation