Factorization and Painlevé analysis of a class of nonlinear third-order partial differential equations. (English) Zbl 0830.35127

Gilson, Claire; Pickering, Andrew

J. Phys. A, Math. Gen. 28, No. 10, 2871-2888 (1995).

MSC:

35Q58	Other completely integrable PDE (MSC2000)
37J35	Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

Keywords:

Camassa-Holm equation; travelling-wave solutions; Painlevé analysis; reductions; Painlevé test