Nonlinear dispersion and compact structures

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Relaxing the distinguished ordering underlying the derivation of soliton supporting equations leads to new equations endowed with nonlinear dispersion crucial for the formation and coexistence of compactons, solitons with a compact support, and conventional solitons. Vibrations of the anharmonic mass-spring chain lead to a new Boussinesq equation admitting compactons and compact breathers. The model equation ut+[δu+3γu22+u1-ω(uωux)x] x+νutxx=0(ω,ν,δ,γconst) admits compactons and for 2ω=νγ=1 has a bi-Hamiltonian structure. The infinite sequence of commuting flows generates an integrable, compacton's supporting variant of the Harry Dym equation.

Original languageEnglish
Pages (from-to)1737-1741
Number of pages5
JournalPhysical Review Letters
Issue number13
StatePublished - 1994
Externally publishedYes


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