Systematic derivation of boundary Lax pairs
Jean Avan, Anastasia Doikou
TL;DR
This paper systematically derives the Lax pair formulation for integrable classical theories with boundary conditions, applicable to both discrete and continuum models, enhancing understanding of their integrability structure.
Contribution
It provides a unified, systematic method for deriving boundary Lax pairs in integrable systems, which was previously less formalized.
Findings
Derived boundary Lax pairs for discrete models
Extended Lax pair formulation to continuum theories
Clarified the role of boundary conditions in integrability
Abstract
We systematically derive the Lax pair formulation for both discrete and continuum integrable classical theories with consistent boundary conditions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Computational Fluid Dynamics and Aerodynamics · Advanced Numerical Analysis Techniques