Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair

DOI10.1063/1.1558903zbMath1062.37072arXivnlin/0206046OpenAlexW3099696797MaRDI QIDQ4832971

Sergei Sakovich, Ayşe Karasu-Kalkanlı, İsmet Yurduşen

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0206046

Mathematics Subject Classification ID

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

Related Items

Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system, Numerical computation of fractional Kersten-Krasil'shchik coupled KdV-mKdV system occurring in multi-component plasmas, Integrability of One Bilinear Equation: Singularity Analysis and Dimension, Unnamed Item, The prolongation structure of a coupled KdV equation, Hamiltonian operators and \(\ell^*\)-coverings, Bilinear approach to quasi-periodic wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV system, True and Fake Lax Pairs: How to Distinguish Them, Hirota's virtual multisoliton solutions of \(N=2\) supersymmetric Korteweg-de Vries equations, Invariant analysis, optimal system, power series solutions and conservation laws of Kersten-Krasil'shchik coupled KdV-mKdV equations

Cites Work

• A unified approach to Painlevé expansions
• The prolongation structures of quasi-polynomial flows
• The Painlevé property for partial differential equations
• Prolongation structures of nonlinear evolution equations
• On zero-curvature representations of evolution equations