Bäcklund-Darboux Transformations for Super KdV Type Equations
By introducing a Miura transformation, we derive a generalized super modified Korteweg-de Vries (gsmKdV) equation from the generalized super KdV (gsKdV) equation. It is demonstrated that, while the gsKdV equation takes Kupershmidt's super KdV (sKdV) equation and Geng-Wu's sKdV equation as...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| ISSN: | 1815-0659 |
| Main Authors: | Xue, Lingling, Wang, Shasha, Liu, Qing Ping |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213526 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Bäcklund-Darboux Transformations for Super KdV Type Equations. Lingling Xue, Shasha Wang and Qing Ping Liu. SIGMA 21 (2025), 050, 22 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
by: Xue, L.L., et al.
Published: (2014)
by: Xue, L.L., et al.
Published: (2014)
The Integrability of New Two-Component KdV Equation
by: Popowicz, Z.
Published: (2010)
by: Popowicz, Z.
Published: (2010)
Lagrangian Approach to Dispersionless KdV Hierarchy
by: Choudhuri, A., et al.
Published: (2007)
by: Choudhuri, A., et al.
Published: (2007)
KdV Flow on Generalized Reflectionless Potentials
by: Kotani, S.
Published: (2008)
by: Kotani, S.
Published: (2008)
On two initial boundary value problems for the generalized KdV equation
by: Faminskii, A.V.
Published: (2004)
by: Faminskii, A.V.
Published: (2004)
Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation
by: Ormerod, C.M.
Published: (2014)
by: Ormerod, C.M.
Published: (2014)
Rational KdV Potentials and Differential Galois Theory
by: Jiménez, S., et al.
Published: (2019)
by: Jiménez, S., et al.
Published: (2019)
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
by: Shi, Y., et al.
Published: (2017)
by: Shi, Y., et al.
Published: (2017)
Construction of KdV Flow I.
τ-Function via Weyl Function
by: Kotani, Shinichi
Published: (2018)
by: Kotani, Shinichi
Published: (2018)
Construction of KdV Flow I. τ-Function via Weyl Function
by: Sh. Kotani
Published: (2018)
by: Sh. Kotani
Published: (2018)
Construction of KdV Flow I. τ-Function via Weyl Function
by: Kotani, Shinichi
Published: (2018)
by: Kotani, Shinichi
Published: (2018)
Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
by: Maeda, K., et al.
Published: (2013)
by: Maeda, K., et al.
Published: (2013)
Space Curves and Solitons of the KP Hierarchy. I. The -th Generalized KdV Hierarchy
by: Kodama, Yuji, et al.
Published: (2021)
by: Kodama, Yuji, et al.
Published: (2021)
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
by: Sakhnovich, A.
Published: (2007)
by: Sakhnovich, A.
Published: (2007)
Multi-Hamiltonian Structures on Spaces of Closed Equicentroaffine Plane Curves Associated to Higher KdV Flows
by: Fujioka, A., et al.
Published: (2014)
by: Fujioka, A., et al.
Published: (2014)
Bäcklund Transformation for the BC-Type Toda Lattice
by: Kuznetsov, V., et al.
Published: (2007)
by: Kuznetsov, V., et al.
Published: (2007)
Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
by: Carillo, S., et al.
Published: (2016)
by: Carillo, S., et al.
Published: (2016)
Degenerate Backlund transformation
by: V. A. Gorkavij, et al.
Published: (2016)
by: V. A. Gorkavij, et al.
Published: (2016)
Bäcklund Transformations for the Kirchhoff Top
by: Ragnisco, O., et al.
Published: (2011)
by: Ragnisco, O., et al.
Published: (2011)
Bäcklund Transformations for the Trigonometric Gaudin Magnet
by: Ragnisco, O., et al.
Published: (2010)
by: Ragnisco, O., et al.
Published: (2010)
Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3
by: Ayano, T., et al.
Published: (2019)
by: Ayano, T., et al.
Published: (2019)
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
by: Gerdjikov, V.S., et al.
Published: (2008)
by: Gerdjikov, V.S., et al.
Published: (2008)
Bäcklund Transformations for First and Second Painlevé Hierarchies
by: Sakka, A.H.
Published: (2009)
by: Sakka, A.H.
Published: (2009)
Invertible Darboux Transformations
by: Shemyakova, E.
Published: (2013)
by: Shemyakova, E.
Published: (2013)
Asymptotics of Rarefaction Wave Solution to the mKdV Equation
by: A. Minakov
Published: (2011)
by: A. Minakov
Published: (2011)
Asymptotics of Rarefaction Wave Solution to the mKdV Equation
by: Minakov, A.
Published: (2011)
by: Minakov, A.
Published: (2011)
Classification of Multidimensional Darboux Transformations: First Order and Continued Type
by: Hobby, D., et al.
Published: (2017)
by: Hobby, D., et al.
Published: (2017)
Darboux problem for the generalized Euler–Poisson–Darboux equation
by: A. I. Ismoilov, et al.
Published: (2017)
by: A. I. Ismoilov, et al.
Published: (2017)
Darboux Transformation of Diffusion Processes
by: Kuznetsov, Alexey, et al.
Published: (2025)
by: Kuznetsov, Alexey, et al.
Published: (2025)
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
by: Kelmer, Filipe, et al.
Published: (2024)
by: Kelmer, Filipe, et al.
Published: (2024)
Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
by: Acosta-Humánez, P.B., et al.
Published: (2012)
by: Acosta-Humánez, P.B., et al.
Published: (2012)
Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type
by: Anco, S.C.
Published: (2006)
by: Anco, S.C.
Published: (2006)
Lie – Bäcklund symmetry, reduction and solutions of nonlinear evolution equations
by: V. Zheshut, et al.
Published: (2022)
by: V. Zheshut, et al.
Published: (2022)
Lie-Backlund symmetry reduction of nonlinear and non-evolution equations
by: Tsyfra, I., et al.
Published: (2019)
by: Tsyfra, I., et al.
Published: (2019)
Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
by: Dimakis, A., et al.
Published: (2013)
by: Dimakis, A., et al.
Published: (2013)
Darboux transformation with parameter of generalized Jacobi matrices
by: I. M. Kovaljov
Published: (2016)
by: I. M. Kovaljov
Published: (2016)
Exceptional Legendre Polynomials and Confluent Darboux Transformations
by: García-Ferrero, María Ángeles, et al.
Published: (2021)
by: García-Ferrero, María Ángeles, et al.
Published: (2021)
Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type
by: Vassiliou, P.J.
Published: (2013)
by: Vassiliou, P.J.
Published: (2013)
Shifted Darboux transformations of the generalized Jacobi matrices, I
by: I. M. Kovalyov
Published: (2018)
by: I. M. Kovalyov
Published: (2018)
Shifted Darboux transformations of the generalized Jacobi matrices, I
by: Kovalyov, I.M.
Published: (2018)
by: Kovalyov, I.M.
Published: (2018)
Similar Items
-
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
by: Xue, L.L., et al.
Published: (2014) -
The Integrability of New Two-Component KdV Equation
by: Popowicz, Z.
Published: (2010) -
Lagrangian Approach to Dispersionless KdV Hierarchy
by: Choudhuri, A., et al.
Published: (2007) -
KdV Flow on Generalized Reflectionless Potentials
by: Kotani, S.
Published: (2008) -
On two initial boundary value problems for the generalized KdV equation
by: Faminskii, A.V.
Published: (2004)