INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM

DOI10.1142/S0129183104006145zbMath1068.37051arXivnlin/0408001OpenAlexW2169019337MaRDI QIDQ4669691

Ayşe Karasu, Tuba Kiliç

Publication date: 15 April 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0408001

zbMATH Keywords

exact solutionsPainlevé analysisnonautonomous KdV systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Integrable theory of the perturbation equations.
• Jordan KdV systems and Painlevé property
• Non-autonomous Svinolupov-Jordan KdV systems
• The Painlevé property for partial differential equations
• Exact Solutions of a Variable-Coefficient KdV Equation Arising in a Shallow Water
• On Integrability of a (2+1)-Dimensional Perturbed KdV Equation