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Theoretical and Mathematical Physics, ISSN 0040-5779, 12/2016, Volume 189, Issue 3, pp. 1681 - 1692
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 12/2015, Volume 50, pp. 37 - 42
We directly construct a bilinear Bäcklund transformation (BT) of a (2+1)-dimensional Korteweg–de Vries-like model. The construction is based on a so-called... 
Quadrilinear representation | Bilinear Bäcklund transformation | Multisoliton solutions | MATHEMATICS, APPLIED | BELL POLYNOMIALS | INTEGRABILITY | REPRESENTATION | RESONANT SOLUTIONS | NONLINEAR SCHRODINGER-EQUATION | SOLITON-SOLUTIONS | Bilinear Backlund transformation | COMBINATORICS | OPERATORS | OPTICAL-FIBER COMMUNICATIONS
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2018, Volume 382, Issue 5, pp. 253 - 258
The N=2a=−2 supersymmetric KdV equation is studied. A Darboux transformation and the corresponding Bäcklund transformation are constructed for this equation.... 
Supersymmetric integrable system | Nonlinear superposition formula | Bäcklund transformation | Darboux transformation | Discrete integrable system | SOLITON-SOLUTIONS | PHYSICS, MULTIDISCIPLINARY | SUPER-KDV | ALGEBRA | EXTENSION | Backlund transformation | BILINEAR FORM
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 11/2019, Volume 42, Issue 16, pp. 5154 - 5158
In this paper, we study the Bäcklund transformations for the adjoint curve in the Euclidean 3‐space. Firstly, it is obtained some essential equations of the... 
Adjoint curve | Bäcklund transformations | Frenet frame | MATHEMATICS, APPLIED | Backlund transformations | Euclidean geometry | Transformations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2013, Volume 219, Issue 11, pp. 5837 - 5848
A new integrable hierarchy of evolution equations is obtained by making use of a Lie algebra and Tu–Ma scheme, from which a new generalized Broer–Kaup (gBK)... 
Bell polynomials | Bäcklund transformation | Integrable hierarchy | MATHEMATICS, APPLIED | Backlund transformation | CLASSICAL BOUSSINESQ SYSTEM | HAMILTONIAN-STRUCTURE
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 03/2019, Volume 89, pp. 103 - 110
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 04/2019, Volume 69, pp. 78 - 97
•A new extended Painlevé hierarchy.•Bäcklund and auto-Bäcklund transformations, nesting, and other properties.•Importance of underlying structure of equations.... 
Bäcklund transformations | Extended Painleváe hierarchy | ORDER DIFFERENTIAL-EQUATIONS | INTEGRALS | MATHEMATICS, APPLIED | 1ST | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SYMMETRIES | 3RD-ORDER | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Extended Painlevae hierarchy | Backlund transformations
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 01/2019, Volume 118, pp. 337 - 346
Journal Article
Physics Letters A, ISSN 0375-9601, 07/2018, Volume 382, Issue 29, pp. 1908 - 1915
We derive auto-Bäcklund transformations, analogous to those of the matrix second Painlevé equation, for a matrix partial differential equation. We also then... 
Matrix partial differential equations | Auto-Bäcklund transformations | BURGERS | UNIFIED APPROACH | PHYSICS, MULTIDISCIPLINARY | TRUNCATION | NONISOSPECTRAL SCATTERING PROBLEMS | EXTENSION | Auto-Backlund transformations | EVOLUTION-EQUATIONS | PAINLEVE PROPERTY | DARBOUX TRANSFORMATIONS
Journal Article
Journal of Geometry and Physics, ISSN 0393-0440, 03/2018, Volume 126, pp. 148 - 158
In classical mechanics well-known cryptographic algorithms and protocols can be very useful for construction of canonical transformations preserving form of... 
Separation of variables | Integrable systems | Arithmetic of divisors | Backlund transformations | MATHEMATICS | SYSTEMS | SEPARATION | PHYSICS, MATHEMATICAL | Algorithms
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 10/2016, Volume 31, pp. 388 - 408
Under investigation in this paper is a generalized (2+1)-dimensional Boussinesq equation, which can be used to describe the water wave interaction. By using... 
The (2+1)-dimensional Boussinesq equation | Bell’s polynomials | Soliton solution | Periodic wave solution | Infinite conservation laws | Bäcklund transformation | Bell's polynomials | POLYNOMIALS | MATHEMATICS, APPLIED | CAMASSA-HOLM EQUATION | Backlund transformation | RATIONAL CHARACTERISTICS | Environmental law
Journal Article
by Hu, YH
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9947, 02/2020, Volume 373, Issue 2, pp. 1181 - 1210
Using Elie Cartan's method of equivalence, we prove an upper bound for the generality of generic rank-1 Backlund transformations relating two hyperbolic... 
MATHEMATICS | exterior differential systems | Cartan's method of equivalence | hyperbolic Monge-Ampere systems | Backlund transformations
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2017, Volume 44, pp. 360 - 372
Journal Article