1998/01/01 by Sergei Sakovich, Sergei Yu. Sakovich · 1 citation
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods for differential equations #math-ph #math.AP #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.2991/jnmp.1998.5.3.1
published as J. Nonlinear Math. Phys. 5 (1998) 230-233
openalex publication_date 1998/01/01 · arxiv created 1998/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlevé test for integrability well, and its 4×4 Lax pair with two spectral parameters is found. The results show that the Painlevé classification of coupled KdV equations by A. Karasu should be revised.