Bosonization and new interaction solutions for the coupled Korteweg-de Vries system

DOI10.1080/17455030.2018.1489565zbMath1504.35436OpenAlexW2811231683MaRDI QIDQ5104290

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Publication date: 9 September 2022

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2018.1489565

zbMATH Keywords

Bäcklund transformationresidual symmetrycoupled Korteweg-de Vries equationdark parameterization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

Polynomial complex Ginzburg-Landau equations in Zhidkov spaces ⋮ A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system

Cites Work

• Unnamed Item
• Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
• Lie algebras and equations of Korteweg-de Vries type
• Computer classification of the integrable coupled KdV-like systems with unit main matrix
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• Weak and Strong Interactions between Internal Solitary Waves
• Coupled KdV equations derived from two-layer fluids
• Topological quantum computation
• Dark Parameterizations, Equivalent Partner Fields and Integrable Systems
• On integrable coupled KdV-type systems
• Strong Interactions between Solitary Waves Belonging to Different Wave Modes

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