A global characterization of gap solitary-wave solutions to a coupled KdV system

AR Champneys; MD Groves; PD Woods

A global characterization of gap solitary-wave solutions to a coupled KdV system

AR Champneys, MD Groves, PD Woods

Research output: Working paper

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Abstract

Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a `snaking' transition to infinite periodic cores.

Original language	English
Publication status	Published - 2000

Bibliographical note

Additional information: Preprint of a paper later published by Elsevier Science (2000), Physics Letters A, 271(3), pp.178-190, ISSN 0375-9601

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Engineering Mathematics Research Group

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http://hdl.handle.net/1983/446

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A global characterization of gap solitary-wave solutions to a coupled KdV system
Champneys, A., Groves, M. & Woods, P., 2000, In: Physics Letters A. 271, Issue 3, p. 178 - 190
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Cite this

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abstract = "Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a `snaking' transition to infinite periodic cores.",

author = "AR Champneys and MD Groves and PD Woods",

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AU - Groves, MD

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N2 - Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a `snaking' transition to infinite periodic cores.

AB - Two coupled KdV equations, depending upon three dimensionless parameters, are investigated for gap solitary-wave solutions. Normal-form analysis of two degenerate Hamiltonian-Hopf bifurcations captures small-amplitude envelope solitary waves. Agreement occurs with numerical continuation to large amplitude, linking solitary waves, kinks, and a `snaking' transition to infinite periodic cores.

M3 - Working paper

BT - A global characterization of gap solitary-wave solutions to a coupled KdV system

ER -

A global characterization of gap solitary-wave solutions to a coupled KdV system

Abstract

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Research output

A global characterization of gap solitary-wave solutions to a coupled KdV system

Cite this