Bäcklund Transformations for the Trigonometric Gaudin Magnet
We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality ...
Federico Zullo, Orlando Ragnisco
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Hypervalent Iodine‐Mediated Synthesis of Sulfones Using Organozinc Pivalates and Sulfinate Salts
A general protocol for sulfone synthesis via sulfonyl‐containing hypervalent iodine reagents and organozinc pivalates is described. The method is practical, provides a broad scope of sulfone in moderate to high yield. bicyclo[1.1.1]pentane‐sulfones are also disclosed and a one‐pot synthesis of Diels–Alder adduct is presented. Sulfones are key motifs in
José C. Cunha +4 more
wiley +1 more source
Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations [PDF]
This work presents a new analytical method to transform exact solutions of linear diffusion equations into exact ones for nonlinear advection-diffusion models.
S. Silveira +4 more
core +2 more sources
The Maxwell equations as a Bäcklund transformation
Bäcklund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be ignored.
C. J. Papachristou
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Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira +2 more
wiley +1 more source
Bäcklund transformations for Painlevé I and II equations to Painlevé-type equations of second order and higher degree [PDF]
We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree equations of Painlevé type.We give Bäcklund transformations for the Painlevé I and Painlevé II equations to second-order and higher degree ...
Sakka, A.
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Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard ...
Ren Bo
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Abstract As our understanding of abiotic factors continues to grow, along with insights into the biological traits of organisms, so too does the sophistication of studies exploring global diversification and spatio‐temporal distribution patterns. The global distribution of coastal Cafius rove beetles, combined with the endemic distribution patterns ...
Kee‐Jeong Ahn, Jeong‐Hun Song
wiley +1 more source
Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models [PDF]
The Bäcklund transformations for some nonlinear evolution equations (the Liouville, the sine and sinh-Poisson equations) are constructed through the AKNS system in unified manner.
Malfliet, W. +3 more
core +1 more source
Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems
A (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given.
Yan-ze Peng
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