PMID: 11308967Apr 20, 2001Paper

Solitonic structures in a nonlinear model with interparticle anharmonic interaction

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M A Agüero, M J Paulin

Abstract

Using a special combination of relevant parameters for a model with interparticle anharmonic interactions, we can predict the appearance of solitonic structures. The most remarkable representatives of the structures found here are the so-called drop compactons, (solitons with compact support in the shape of hard spheres), cusps, peak solitons (peakons), and defects. These analytic solutions (similar to others in their family) are obtained by considering strong restrictions on the possible values of their velocities. We analyze two types of physical boundary condition: the trivial and the so-called condensate boundary conditions. The total energy concentrated in each soliton pattern is also calculated.

References

Jul 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Y S Kivshar
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·F Zhang
Feb 1, 1993·Physical Review Letters·P Rosenau, J M Hyman
Sep 13, 1993·Physical Review Letters·R Camassa, D D Holm
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C YinhuaM Y Yu
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P T Dinda, M Remoissenet
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P Tchofo DindaM Remoissenet

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Citations

Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kuetche Kamgang VictorTimoleon Crepin Kofane
Sep 28, 2017·Physical Review. E·Aurélien Serge Tchakoutio NguetchoJean Marie Bilbault
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Victor K Kuetche

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