A new (1+1)-dimensional matrix k-constrained KP hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
TL;DR
This paper introduces a new generalized matrix (1+1)-dimensional k-constrained KP hierarchy, encompassing various integrable systems, and proposes a binary Darboux transformation method for solving these systems.
Contribution
It presents a novel generalization of the matrix (1+1)-dimensional k-constrained KP hierarchy and develops a binary Darboux transformation technique for its integration.
Findings
Contains matrix generalizations of stationary DS systems
Includes (2+1)-dimensional modified KdV and Nizhnik equations
Provides a binary Darboux transformation method for system integration
Abstract
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.
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Taxonomy
TopicsMatrix Theory and Algorithms · Nonlinear Waves and Solitons · Numerical methods for differential equations