Nonlinear dispersion and compact structures

Journal Article · Mon Sep 26 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.1737· OSTI ID:7171080

Rosenau, P ^[1]

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1. Technion, Haifa 32000 (Israel) Center For Nonlinear Studies, MS-B258 Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

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 [ital u][sub [ital t]]+[[delta][ital u]+3[gamma][ital u][sup 2]/2+[ital u][sup 1[minus][omega]]([ital u][sup [omega]][ital u][sub [ital x]])[sub [ital x]]][sub [ital x]] +[nu][ital u][sub [ital t]e][ital x][sub [ital x]]=0([omega],[nu],[delta],[gamma] const), admits compactons and for 2[omega]=[nu][gamma]=1 has a bi-Hamiltonian structure. The infinite sequence of commuting flows generates an integrable, compacton's supporting variant, of the Harry Dym equation.

• OSTI ID: 7171080
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 73:13; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

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