312 citations · 491 across the 3 of their papers we have counts for
3 papers
nlin.PS2013★ 10 cited
Interaction Dynamics of Singular Wave Fronts
Darryl D. Holm, Martin F. Staley
Some of the most impressive singular wave fronts seen in Nature are the transbasin oceanic internal waves, which may be observed from the Space Shuttle as they propagate and intera…
nlin.CD2002★ 169 cited
Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
Darryl D. Holm, Martin F. Staley
We study exchange of stability in the dynamics of solitary wave solutions under changes in the nonlinear balance in a 1+1 evolutionary partial differential equation related both to…
nlin.CD2002★ 312 cited
Wave Structures and Nonlinear Balances in a Family of 1+1 Evolutionary PDEs
Darryl D. Holm, Martin F. Staley
We study the following family of evolutionary 1+1 PDEs that describe the balance between convection and stretching for small viscosity in the dynamics of 1D nonlinear waves in flui…