45 citations · 127 across the 14 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math-ph2019
Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+1 dimensions
Stephen C. Anco, M. L. Gandarias, Elena Recio
A universal KP-like equation in 2+1 dimensions, which models general nonlinear wave phenomena exhibiting p-power nonlinearity, dispersion, and small transversality, is studied. Spe…
math-ph2019★ 1 cited
Conservation laws and line soliton solutions of a family of modified KP equations
Stephen C. Anco, M. L. Gandarias, Elena Recio
A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equation when the coefficients of the nonlinear te…
math-ph2019
Accelerating dynamical peakons and their behaviour
Stephen C. Anco, Elena Recio
A wide class of nonlinear dispersive wave equations are shown to possess a novel type of peakon solution in which the amplitude and speed of the peakon are time-dependent. These no…