4 papers
Topological charges and conservation laws involving an arbitrary function of time for dynamical PDEs
Stephen C. Anco, Elena Recio
Dynamical PDEs that have a spatial divergence form possess conservation laws that involve an arbitrary function of time. In one spatial dimension, such conservation laws are shown…
Travelling wave solutions on a non-zero background for the generalized Korteweg-de Vries equation
Stephen C. Anco, HamidReza Nayeri, Elena Recio
For the generalized -power Korteweg-de Vries equation, all non-periodic travelling wave solutions with non-zero boundary conditions are explicitly classified for all integer pow…
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…
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…