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Abstract We apply the Differential Galois Theory of linear partial differential systems to the Backlund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of… Click to show full abstract
Abstract We apply the Differential Galois Theory of linear partial differential systems to the Backlund–Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system. As an example, we study the integrability in closed form of the linear systems corresponding to the solitonic solutions of KdV equation.
Keywords:
galois theory;
theory darboux;
differential galois;
darboux transformations;
transformations integrable
Journal Title: Journal of Geometry and Physics
Year Published: 2017
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Journal Title: Journal of Geometry and Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!