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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…