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

2002/06/27 by A Karasu, Ayşe Karasu Kalkanli, S Yu Sakovich +3
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP #nlin.SI

paper · pdf · doi:10.1063/1.1558903

published as J. Math. Phys. 44 (2003) 1703-1708 · 9 pages

arxiv created 2002/06/27 · openalex publication_date 2003/03/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The integrability of a coupled KdV–mKdV system is tested by means of singularity analysis. The true Lax pair associated with this system is obtained by the use of prolongation technique.

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