Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type

DOI10.1016/S0375-9601(00)00422-9zbMath1115.37358WikidataQ115339089 ScholiaQ115339089MaRDI QIDQ997665

Hon-Wah Tam, Xing-Biao Hu

Publication date: 7 August 2007

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

zbMATH Keywords

soliton solutionsLax pairsintegrable lattices

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Partial functional-differential equations (35R10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Symmetry analysis and interaction solutions for the (\(2 + 1\))-dimensional Kaup-Kupershmidt system ⋮ On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method ⋮ Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy ⋮ An efficient computational technique for time‐fractional<scp>Kaup‐Kupershmidt</scp>equation

Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
• The two loop soliton solution of the Vakhnenko equation
• On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• An integrable shallow water equation with peaked solitons
• Bäcklund transformation of partial differential equations from the Painlevé–Gambier classification. I. Kaup–Kupershmidt equation
• On reduced CKP equations
• The Crum transformation for a third-order scattering problem

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