Existence and stability analysis of solitary waves in a tricrystal junction

DOI10.1016/J.PHYSLETA.2005.02.058zbMath1136.35450OpenAlexW2129888272MaRDI QIDQ2478836

Hadi Susanto, Stephan A. van Gils

Publication date: 25 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.02.058

zbMATH Keywords

sine-Gordon equationlong Josephson junctionsfluxonstricrystal junctions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (7)

Bogoliubov de Gennes equation on metric graphs ⋮ Wave dynamics on networks: method and application to the sine-Gordon equation ⋮ The stationary sine-Gordon equation on metric graphs: exact analytical solutions for simple topologies ⋮ Instability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interaction ⋮ Soliton and breather splitting on star graphs from tricrystal Josephson junctions ⋮ Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries ⋮ Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph

Cites Work

• Travelling waves in a singularly perturbed sine-Gordon equation
• Systematic perturbation theory for sine - Gordon solitons without use of inverse scattering methods

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