TY - JOUR

T1 - Compactons in a class of nonlinearly quintic equations

AU - Rosenau, Philip

AU - Levy, Doron

N1 - Funding Information:
We would like to thank 1. Matkov and G. Raphael for their help with Figs. 1-4. P.R. would also like to thank P. Olver and J.M. Hyman, and D.L. thanks C.-W. Shu for useful discussions. P.R. was supportedi n part by the BSF Grant 94-00283.T he researcho f D.L. was supportedi n part by the appliedm athematicasl ci-encess ubprogramo f the office of energyr esearch,U S Departmento f energy, under contract no. DE-AC03-76SF00098. Part of this work was done while D.L. was staying in ENS, Paris, supportedb y the European TMR Grant #ERBFMRXCT960033.

PY - 1999/3/8

Y1 - 1999/3/8

N2 - We introduce a nonlinear dispersive quintic equation. Its travelling waves are governed by a linear equation. We construct a large variety of explicit compact solitary waves. Some of these compactons are very robust, others decompose very quickly. Numerical simulations also reveal the existence of compact travelling breathers.

AB - We introduce a nonlinear dispersive quintic equation. Its travelling waves are governed by a linear equation. We construct a large variety of explicit compact solitary waves. Some of these compactons are very robust, others decompose very quickly. Numerical simulations also reveal the existence of compact travelling breathers.

UR - http://www.scopus.com/inward/record.url?scp=0347874911&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(99)00012-2

DO - 10.1016/S0375-9601(99)00012-2

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AN - SCOPUS:0347874911

SN - 0375-9601

VL - 252

SP - 297

EP - 306

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -