Dispersive Riemann problems for the Benjamin–Bona–Mahony equation

Solitary waves in power-law deformable conduits with laminar or turbulent fluid flow

(2020) Aaron G. Stubblefield et al.   JOURNAL OF FLUID MECHANICS

Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals

(2020) Saleh Baqer et al.   PHYSICA D-NONLINEAR PHENOMENA

On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data

(2020) Deniz Bilman et al.   NONLINEARITY

Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves

(2020) Patrick Sprenger et al.   NONLINEARITY

Stationary shock-like transition fronts in dispersive systems

(2020) Sergey Gavrilyuk et al.   NONLINEARITY

Solitary wave fission of a large disturbance in a viscous fluid conduit

(2019) M. D. Maiden et al.   JOURNAL OF FLUID MECHANICS

Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure

(2018) T. Congy et al.   STUDIES IN APPLIED MATHEMATICS

Gibbs Phenomenon for Dispersive PDEs on the Line

(2017) Gino Biondini et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Shock Waves in Dispersive Hydrodynamics with Nonconvex Dispersion

(2017) P. Sprenger et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws

(2017) G. A. El et al.   SIAM REVIEW

Stationary Expansion Shocks for a Regularized Boussinesq System

(2017) Gennady A. El et al.   STUDIES IN APPLIED MATHEMATICS

A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

(2017) Adam Larios et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Dispersive shock waves and modulation theory

(2016) G.A. El et al.   PHYSICA D-NONLINEAR PHENOMENA

Expansion shock waves in regularized shallow-water theory

(2016) Gennady A. El et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Radiating dispersive shock waves in non-local optical media

(2016) Gennady A. El et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Wave-packet formation at the zero-dispersion point in the Gardner-Ostrovsky equation

(2015) A. J. Whitfield et al.   PHYSICAL REVIEW E

Shock Waves in Dispersive Eulerian Fluids

(2014) M. A. Hoefer   JOURNAL OF NONLINEAR SCIENCE

Dispersive shock waves in viscously deformable media

(2013) Nicholas K. Lowman et al.   JOURNAL OF FLUID MECHANICS

Dispersive hydrodynamics in viscous fluid conduits

(2013) N. K. Lowman et al.   PHYSICAL REVIEW E

Dispersive shock wave interactions and asymptotics

(2013) Mark J. Ablowitz et al.   PHYSICAL REVIEW E

Undular bore theory for the Gardner equation

(2012) A. M. Kamchatnov et al.   PHYSICAL REVIEW E

Dispersive dam-break and lock-exchange flows in a two-layer fluid

(2011) J. G. ESLER et al.   JOURNAL OF FLUID MECHANICS

Transcritical shallow-water flow past topography: finite-amplitude theory

(2009) G. A. EL et al.   JOURNAL OF FLUID MECHANICS

The large-time development of the solution to an initial-value problem for the Korteweg–de Vries equation: I. Initial data has a discontinuous expansive step

(2008) J A Leach et al.   NONLINEARITY

Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory

(2008) G.A. El et al.   PHYSICA D-NONLINEAR PHENOMENA

Numerical study of a multiscale expansion of the Korteweg-de Vries equation and Painleve-II equation

(2008) T Grava et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES