A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
P. R. Gordoa, A. Pickering, M. Senthilvelan
Abstract
We investigate the Painleve analysis for a (2+1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitations of the Painleve test as a test for complete integrability when applied to non-semilinear partial differential equations.
Create a lesson
Related papers
Sato-theoretic construction of the anti-self-dual Yang-Mills hierarchy and the Ward conjecture
Shangshuai Li, Da-jun Zhang
Direct linearization, Cauchy matrix and Sato Grassmannian
Kanehisa Takasaki
The transformations of the mToda hierarchy in tau functions
Wenchuang Guan, Shen Wang, Bailin Zhang et al.
Multiparameter Quantum Affine Spaces and the Scalene Yang--Baxter Equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
Long-time asymptotics of the integrable defocusing Wadati-Konno-Ichikawa equation with a finite-genus algebro-geometric background
Taohua Luo, Zhenya Yan, Guoqiang Zhang
New 5th-order Schwarzian evolution equations and their higher-order symmetries
Marianna Euler, Norbert Euler