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

The Whitham equation for hydroelastic waves

(2019) Evgueni Dinvay et al.   APPLIED OCEAN RESEARCH

Modulation theory solution for nonlinearly resonant, fifth-order Korteweg-de Vries, nonclassical, traveling dispersive shock waves

(2018) Mark A. Hoefer et al.   STUDIES IN APPLIED MATHEMATICS

The Whitham equation with surface tension

(2017) Evgueni Dinvay et al.   NONLINEAR DYNAMICS

Numerical bifurcation for the capillary Whitham equation

(2017) Filippo Remonato et al.   PHYSICA D-NONLINEAR PHENOMENA

Negative-Mass Hydrodynamics in a Spin-Orbit–coupled Bose-Einstein Condensate

(2017) M. A. Khamehchi et al.   PHYSICAL REVIEW LETTERS

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

Dispersive shock waves in nematic liquid crystals

(2016) Noel F. Smyth   PHYSICA D-NONLINEAR PHENOMENA

Dispersive shock waves and modulation theory

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

On asymmetric generalized solitary gravity–capillary waves in finite depth

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

Modulations of viscous fluid conduit periodic waves

(2016) M. D. Maiden 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

The instability of Wilton ripples

(2016) Olga Trichtchenko et al.   WAVE MOTION

A plethora of generalised solitary gravity–capillary water waves

(2015) Didier Clamond et al.   JOURNAL OF FLUID MECHANICS

Hamiltonian formulation of the extended Green–Naghdi equations

(2015) Yoshimasa Matsuno   PHYSICA D-NONLINEAR PHENOMENA

Slow Modulations of Periodic Waves in Hamiltonian PDEs, with Application to Capillary Fluids

(2014) S. Benzoni-Gavage et al.   JOURNAL OF NONLINEAR SCIENCE

Resonant radiation shed by dispersive shock waves

(2014) Matteo Conforti et al.   PHYSICAL REVIEW A

Dispersive shock waves in viscously deformable media

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

Generalized dispersive wave emission in nonlinear fiber optics

(2013) K. E. Webb et al.   OPTICS LETTERS

On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type

(2012) Mats Ehrnström et al.   NONLINEARITY

Newton-conjugate-gradient methods for solitary wave computations

(2009) Jianke Yang   JOURNAL OF COMPUTATIONAL PHYSICS

On the fully-nonlinear shallow-water generalized Serre equations

(2009) Frédéric Dias et al.   PHYSICS LETTERS A

Snakes, Ladders, and Isolas of Localized Patterns

(2009) Margaret Beck et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Spatially localized structures in dissipative systems: open problems

(2008) E Knobloch   NONLINEARITY

Piston Dispersive Shock Wave Problem

(2008) M. A. Hoefer et al.   PHYSICAL REVIEW LETTERS