Dispersive shock waves in three dimensional Benjamin-Ono equation

DOI10.1016/j.wavemoti.2019.102502OpenAlexW2997908936WikidataQ126443570 ScholiaQ126443570MaRDI QIDQ781663

Ali Demirci

Publication date: 17 July 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10567

zbMATH Keywords

dispersive shock wavesthree dimensional Benjamin-Ono equationWhitham modulation theory

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items

Modulated periodic wavetrains in the spherical Gardner equation, Undular bores in the \((3+1)\) dimensional mKP equation

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential time differencing for stiff systems
• Dispersive shock waves and modulation theory
• Dispersive shock waves in the Kadomtsev-Petviashvili and two dimensional Benjamin-Ono equations
• Algebraic Solitary Waves in Stratified Fluids
• Solitonic Asymptotics for the Korteweg–de Vries Equation in the Small Dispersion Limit
• The small dispersion limit of the Korteweg-de Vries equation. I
• Nonlinear Filters for Efficient Shock Computation
• Long Internal Waves in Fluids of Great Depth
• Modulational instability of cnoidal wave solutions of the modified Korteweg–de Vries equation
• Analysis of the symmetry group and exact solutions of the dispersionless KP equation in n + 1 dimensions
• Whitham modulation theory for (2  +  1)-dimensional equations of Kadomtsev–Petviashvili type
• On the Whitham system for the radial nonlinear Schrödinger equation
• Fourth-Order Time-Stepping for Stiff PDEs
• Non-linear dispersive waves
• A perturbation method for nonlinear dispersive wave problems
• Internal waves of permanent form in fluids of great depth
• The Evolution of Multi‐Phase Modes for Nonlinear Dispersive Waves
• Solving Hyperbolic PDEs in MATLAB