Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart
From MaRDI portal
Publication:308707
DOI10.3842/SIGMA.2016.087zbMath1386.37070arXiv1512.02386MaRDI QIDQ308707
Mauro Lo Schiavo, Sandra Carillo, Cornelia Schiebold
Publication date: 6 September 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.02386
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items
Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart, Soliton scattering in noncommutative spaces, Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations, A novel noncommutative KdV-type equation, its recursion operator, and solitons, Recursion operators admitted by non-abelian Burgers equations: some remarks, KdV-type equations linked via Bäcklund transformations: remarks and perspectives, The Gross-Pitaevskii equation: Bäcklund transformations and admitted solutions, Abelian versus non-abelian Bäcklund charts: some remarks, Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation, On lump, periodic and travelling wave structures to the generalized breaking soliton model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bäcklund transformations and non-abelian nonlinear evolution equations: a novel Bäcklund chart
- Infiltration in soils with prescribed boundary concentration
- A new approach to the quantum KdV.
- Soliton structure versus singularity analysis: Third-order completely integrable nonlinear differential equations in \(1+1\)-dimensions
- Cauchy-type determinants and integrable systems
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Bäcklund transformations and their applications
- On Harry-Dym equation and its solution
- Integrable evolution equations on associative algebras
- Squared eigenfunction symmetries for soliton equations. I
- Squared eigenfunction symmetries for soliton equations. II
- A direct method for studying soliton equations
- On UrKdV and UrKP
- Vector-matrix generalizations of classical integrable equations
- Nonlinear evolution equations: Bäcklund transformations and Bäcklund charts
- Noncommutative AKNS systems and multisoliton solutions to the matrix sine-Gordon equation
- Reciprocal relations in non-steady one-dimensional gasdynamics
- Darboux transformations in integrable systems. Theory and their applications to geometry
- The action-angle transformation for soliton equations
- The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
- Structural properties of the noncommutative KdV recursion operator
- On the Recursion Operator for the Noncommutative Burgers Hierarchy
- The noncommutative AKNS system: projection to matrix systems, countable superposition and soliton-like solutions
- Noncommutative Korteweg–de Vries and modified Korteweg–de Vries hierarchies via recursion methods
- On A Group Of Automorphisms Of The Noncommutative Burgers Hierarchy
- The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links
- Matrix generalisation of the modified Korteweg-de Vries equation
- On classes of integrable systems and the Painlevé property
- Generalised KdV and MKdV equations associated with symmetric spaces
- Application of hereditary symmetries to nonlinear evolution equations
- The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
- Bäcklund transformations for hereditary symmetries
- Comment on 'Matrix generalization of the modified Korteweg-de Vries equation'
- Explicit solutions for the Harry Dym equation
- Evolution equations possessing infinitely many symmetries
- A simple model of the integrable Hamiltonian equation
- Nonlinear equations in soliton physics and operator ideals
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies
- On construction of recursion operators from Lax representation
- Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
- On realizations of solutions of the KdV equation by determinants on operator ideals
- FROM THE NON-ABELIAN TO THE SCALAR TWO-DIMENSIONAL TODA LATTICE
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- The transformation of partial differential equations
- Nonlinear boundary value problems in science and engineering
- On the quasi-Hamiltonian formalism of the KdV equation