Generalized Bäcklund transformations for affine Toda hierarchies
نویسندگان
چکیده
The construction of generalized Backlund transformation for the $A_n$ Affine Toda hierarchy is proposed in terms gauge acting on zero curvature representation. Such based upon graded structure underlying affine algebra which induces a classification transformations. Moreover, explicit examples $su(3)$ and $su(4)$ lead to uncover interesting composition properties various types universality character gauge-Backlund method extended all equations hierarchy. property provides systematic framework construct transformations higher flow equations. Explicit example simplest $sl(3)$ presented.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2021
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/abd8b2