Residual Symmetries and Bäcklund Transformations of Strongly Coupled Boussinesq–Burgers System
نویسندگان
چکیده
منابع مشابه
Well-posedness and Symmetries of Strongly Coupled Network Equations
We consider a class of evolution equations taking place on the edges of a finite network and allow for feedback effects between different, possibly non-adjacent edges. This generalizes the setting that is common in the literature, where the only considered interactions take place at the boundary, i. e., in the nodes of the network. We discuss well-posedness of the associated initial value probl...
متن کاملBäcklund Transformations for Integrable Geometric Curve Flows
We study the Bäcklund transformations of integrable geometric curve flows in certain geometries. These curve flows include the KdV and Camassa-Holm flows in the two-dimensional centro-equiaffine geometry, the mKdV and modified Camassa-Holm flows in the two-dimensional Euclidean geometry, the Schrödinger and extended Harry-Dym flows in the three-dimensional Euclidean geometry and the Sawada-Kote...
متن کاملBäcklund transformations in 2 D dilaton gravity ∗
We give a Bäcklund transformation connecting a generic 2D dilaton gravity theory to a generally covariant free field theory. This transformation provides an explicit canonical transformation relating both theories.
متن کاملBäcklund Transformations for Fourth Painlevé Hierarchies Pilar
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improved method of constructing BTs for hierarchies of ODEs. This approach is then applied to fourth Painlevé (PIV ) hierarchies recently found by the same authors [Publ. Res. Inst. Math. Sci. (Kyoto) 37 327–347 (2001)]. We ...
متن کاملBäcklund transformations , energy shift and the plane wave limit
We discuss basic properties of the Bäcklund transformations for the classical string in AdS space. We explain the relation between the Bäcklund transformations and the energy shift of the dual field theory state. We show that Bäcklund transformations can be represented as a finite-time evolution generated by a special linear combination of Pohlmeyer charges. We also discuss the plane wave limit.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2019
ISSN: 2073-8994
DOI: 10.3390/sym11111365