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nlin.SI2022★ 3 cited
Similarity reductions of peakon equations: integrable cubic equations
L. E. Barnes, A. N. W. Hone, M. Senthilvelan +1
We consider the scaling similarity solutions of two integrable cubically nonlinear partial differential equations (PDEs) that admit peaked soliton (peakon) solutions, namely the mo…
nlin.SI2022
Similarity reductions of peakon equations: the -family
Lucy E. Barnes, Andrew N. W. Hone
The -family is a one-parameter family of Hamiltonian partial differential equations of non-evolutionary type, which arises in shallow water wave theory. It admits a variety of s…