Abstract
The study of new integrable defects leads to new type of Bäcklund transformations named as the type-II Bäcklund transformations. In this article, we show, for the MKdV hierarchy, that the type-II Bäcklund transformation is the compound type-I Bäcklund transformation.
Acknowledgments
The comments of the anonymous reviewers have been useful to improve the paper. This work is supported by the National Natural Science Foundation of China (grant numbers: 11271366 and 11331008), Beijing Municipal Commission of Education Science and Technology Plan project (grant numbers: KM201511417007), the Fundamental Research Funds for Central Universities, and “New Start” Academic Research Projects of Beijing Union University (ZK10201412).
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©2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On Type-II Bäcklund Transformation for the MKdV Hierarchy
- Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
- Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
- Rogue Waves and Hybrid Solutions of the Boussinesq Equation
- Exact Solution for Capillary Bridges Properties by Shooting Method
- Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
- On the Heisenberg Supermagnet Model in (2+1)-Dimensions
- Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
- Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
- Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
- Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
- Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
- Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
- Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics
Artikel in diesem Heft
- Frontmatter
- On Type-II Bäcklund Transformation for the MKdV Hierarchy
- Elastic Properties and Electronic Structure of WS2 under Pressure from First-principles Calculations
- Study of Caking of Powders Using NQR Relaxometry with Inversion of the Laplace Transform
- Rogue Waves and Hybrid Solutions of the Boussinesq Equation
- Exact Solution for Capillary Bridges Properties by Shooting Method
- Structural, Electronic, and Mechanical Properties of CoN and NiN: An Ab Initio Study
- On the Heisenberg Supermagnet Model in (2+1)-Dimensions
- Breathers and Rogue Waves for the Fourth-Order Nonlinear Schrödinger Equation
- Study on the Spectrum of Photonic Crystal Cavity and Its Application in Measuring the Concentration of NaCl Solution
- Potential Systems and Nonlocal Conservation Laws of Prandtl Boundary Layer Equations on the Surface of a Sphere
- Density and Adiabatic Compressibility of the Immiscible Molten AgBr+LiCl Mixture
- Kaluza–Klein Bulk Viscous Fluid Cosmological Models and the Validity of the Second Law of Thermodynamics in f(R, T) Gravity
- Tungsten Sulfide Nanoflakes: Synthesis by Electrospinning and Their Gas Sensing Properties
- Crystal Structure and Bonding Analysis of (La0.8Ca0.2)(Cr0.9−x Co0.1Cux)O3 Ceramics