2013/03/28 by Oleksandr Chvartatskyi, Chvartatskyi, Oleksandr, Yuriy Sydorenko +1
Computer Science · Mathematics · Physics and Astronomy · #35C08 #35Q51 #35Q55 #37K10 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Matrix Theory and Algorithms #Nonlinear Waves and Solitons #Numerical methods for differential equations #msc:35C08 #msc:35Q51 #msc:35Q55 #msc:37K10 #nlin.SI
paper · pdf · doi:10.48550/arxiv.1303.7064
20 pages. arXiv admin note: substantial text overlap with arXiv:1303.6510
arxiv created 2013/03/28 · openalex publication_date 2013/03/28 · arxiv updated 2013/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new generalization of matrix (1+1)-dimensional k-constrained KP hierarchy. The new hierarchy contains matrix generalizations of stationary DS systems, (2+1)-dimensional modified Korteweg-de Vries equation and the Nizhnik equation. A binary Darboux transformation method is proposed for integration of systems from this hierarchy.