Bound states of lattice solitons and their bifurcations

Y. Zolotaryuk; J. C. Eilbeck; A. V. Savin

Bound states of lattice solitons and their bifurcations

Y. Zolotaryuk, J. C. Eilbeck, A. V. Savin

Research output: Contribution to journal › Article › peer-review

Abstract

Families of travelling wave solutions have been studied in a one-dimensional kink-bearing model with a nonlinear intersite coupling. The value of the soliton velocity depends on the parameters of the system such as an anharmonicity parameter and the barrier height of the on-site potential, to which the chain is subjected. These dependencies have been studied numerically using a pseudo-spectral method. The solution space of the bound state lattice solitons has an interesting bifurcation structure. Copyright © 1997 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	81-91
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	108
Issue number	1-2
Publication status	Published - 1997

Keywords

Bifurcations
Pseudo-spectral method
Topological solitons

Cite this

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AU - Eilbeck, J. C.

AU - Savin, A. V.

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N2 - Families of travelling wave solutions have been studied in a one-dimensional kink-bearing model with a nonlinear intersite coupling. The value of the soliton velocity depends on the parameters of the system such as an anharmonicity parameter and the barrier height of the on-site potential, to which the chain is subjected. These dependencies have been studied numerically using a pseudo-spectral method. The solution space of the bound state lattice solitons has an interesting bifurcation structure. Copyright © 1997 Elsevier Science B.V. All rights reserved.

AB - Families of travelling wave solutions have been studied in a one-dimensional kink-bearing model with a nonlinear intersite coupling. The value of the soliton velocity depends on the parameters of the system such as an anharmonicity parameter and the barrier height of the on-site potential, to which the chain is subjected. These dependencies have been studied numerically using a pseudo-spectral method. The solution space of the bound state lattice solitons has an interesting bifurcation structure. Copyright © 1997 Elsevier Science B.V. All rights reserved.

KW - Bifurcations

KW - Pseudo-spectral method

KW - Topological solitons

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M3 - Article

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VL - 108

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EP - 91

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

Bound states of lattice solitons and their bifurcations

Abstract

Keywords

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