Results 21 to 30 of about 48,383 (208)

Geometric aspects of Miura transformations

, 2022
The Miura transformation plays a crucial role in the study of integrable systems. There have been various extensions of the Miura transformation, which have been used to relate different kinds of integrable equations and to classify the bi-Hamiltonian structures.
Qu, Changzheng, Wu, Zhiwei
openaire   +2 more sources

Miura-reciprocal transformations and localizable Poisson pencils

Nonlinearity, 2023
Abstract We show that the equivalence classes of deformations of localizable semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura-reciprocal group contain a local representative and are in one-to-one correspondence with the equivalence classes of deformations of local semisimple Poisson pencils of ...
P Lorenzoni, S Shadrin, R Vitolo
openaire   +6 more sources

Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]

, 2013
In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying, Yuan, Juan-ming, Zhang, Da-jun   +2 more
core   +1 more source

Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy [PDF]

, 1993
The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws.
Grant, Aaron K., Rosner, Jonathan L.
core   +2 more sources

The Boussinesq equation and Miura-type transformations [PDF]

Journal of Mathematical Sciences, 2006
to appear in Journal of Mathematical ...
openaire   +3 more sources

WHEN THE SUPERSYMMETRY IS NOT ENOUGH: THE PARASUPERSYMMETRIC ALGEBRAS OF THE BOUSSINESQ EQUATIONS

TASK Quarterly, 2016
In this article we look at a conundrum that the Boussinesq-type equations pose for mathematicians allowing a Miura-type transformation while at the same time exhibiting no trace of a supersymmetric structure.
ALLA A. YUROVA, ARTEM V. YUROV, VALERIAN A. YUROV   +2 more
doaj   +1 more source

THE COLE-HOPF AND MIURA TRANSFORMATIONS REVISITED [PDF]

, 2000
An elementary yet remarkable similarity between the Cole-Hopf transformation relating the Burgers and heat equation and Miura's transformation connecting the KdV and mKdV equations is studied in detail.
Gesztesy, Fritz, Holden, Helge
openaire   +2 more sources

Miura and generalized Bäcklund transformation for KdV hierarchy [PDF]

Journal of Physics A: Mathematical and Theoretical, 2016
Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and mKdV equations, we discuss the derivation of the B cklund transformation and its Miura-gauge transformation connecting both hierarchies.
Gomes, J. F., Retore, A. L., Zimerman, A. H.   +2 more
openaire   +3 more sources

Instanton R-matrix and W $$ \mathcal{W} $$ -symmetry

Journal of High Energy Physics, 2019
We study the relation between W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ algebra and Arbesfeld-Schiffmann­ Tsymbaliuk Yangian using the Maulik-Okounkov R-matrix. The central object linking these two pictures is the Miura transformation. Using the results of
Tomáš Procházka
doaj   +1 more source

On extensions of gl m n ⏜ $$ \mathfrak{gl}\widehat{\left(\left.m\right|n\right)} $$ Kac-Moody algebras and Calabi-Yau singularities

Journal of High Energy Physics, 2020
We discuss a class of vertex operator algebras W m n × ∞ $$ {\mathcal{W}}_{\left.m\right|n\kern0.33em \times \kern0.33em \infty } $$ generated by a super- matrix of fields for each integral spin 1, 2, 3, . . . .
Miroslav Rapčák
doaj   +1 more source