On ultrasonic Davydov solitons and the Hénon-Heiles system

P. L. Christiansen; J. C. Eilbeck; V. Z. Enol'skii; Ju B. Gaididei

On ultrasonic Davydov solitons and the Hénon-Heiles system

P. L. Christiansen, J. C. Eilbeck, V. Z. Enol'skii, Ju B. Gaididei

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Abstract

We consider an ultrasonic Davydov model with anharmonic terms for phonon oscillations, a generalization of a model by Huth et al. for Schreibe aggregates. The system reduces to the Hénon-Heiles equations for travelling wave solutions. A new family of elliptic solutions for an integrable case of the Hénon-Heiles system is found and the application to Schreibe aggregates is given. © 1992.

Original language	English
Pages (from-to)	129-134
Number of pages	6
Journal	Physics Letters A
Volume	166
Issue number	2
Publication status	Published - 15 Jun 1992

Cite this

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title = "On ultrasonic Davydov solitons and the H{\'e}non-Heiles system",

abstract = "We consider an ultrasonic Davydov model with anharmonic terms for phonon oscillations, a generalization of a model by Huth et al. for Schreibe aggregates. The system reduces to the H{\'e}non-Heiles equations for travelling wave solutions. A new family of elliptic solutions for an integrable case of the H{\'e}non-Heiles system is found and the application to Schreibe aggregates is given. {\textcopyright} 1992.",

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AU - Christiansen, P. L.

AU - Eilbeck, J. C.

AU - Enol'skii, V. Z.

AU - Gaididei, Ju B.

PY - 1992/6/15

Y1 - 1992/6/15

N2 - We consider an ultrasonic Davydov model with anharmonic terms for phonon oscillations, a generalization of a model by Huth et al. for Schreibe aggregates. The system reduces to the Hénon-Heiles equations for travelling wave solutions. A new family of elliptic solutions for an integrable case of the Hénon-Heiles system is found and the application to Schreibe aggregates is given. © 1992.

AB - We consider an ultrasonic Davydov model with anharmonic terms for phonon oscillations, a generalization of a model by Huth et al. for Schreibe aggregates. The system reduces to the Hénon-Heiles equations for travelling wave solutions. A new family of elliptic solutions for an integrable case of the Hénon-Heiles system is found and the application to Schreibe aggregates is given. © 1992.

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JO - Physics Letters A

JF - Physics Letters A

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On ultrasonic Davydov solitons and the Hénon-Heiles system

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