Results 81 to 90 of about 11,974 (188)

Darboux Transformation for the 3-Dimension Nonlinear Schrodinger Equation

IEEE Photonics Journal, 2018
The transient nonlinear Schrodinger equation (NLSE) is solved with the Darboux transformation. Based on this solution, the longitude and transverse field evolution is presented; the time-varying coefficients (dispersion and nonlinear parameters) of NLSE ...
Mingxiang Gui, Jing Huang
doaj   +1 more source

Darboux soft hair in 3D asymptotically flat spacetimes

Physics Letters B
In this paper, we construct a fully on-shell solution space for three-dimensional Einstein's gravity in asymptotically flat spacetimes using a finite coordinate transformation.
Vahid Taghiloo
doaj   +1 more source

A new (1+1)-dimensional matrix k-constrained KP hierarchy [PDF]

Математичні Студії, 2013
We introduce a new generalization of matrix (1+1)-dimensional$k$-constrained KP hierarchy. The new hierarchy contains matrixgeneralizations of stationary DS systems, (2+1)-dimensionalmodified Korteweg-de Vries equation and the Nizhnik equation.
Yu. M. Sydorenko, O. I. Chvartatskyi
doaj  

Double-Step Shape Invariance of Radial Jacobi-Reference Potential and Breakdown of Conventional Rules of Supersymmetric Quantum Mechanics

Axioms
The paper reveals some remarkable form-invariance features of the ‘Jacobi-reference’ canonical Sturm–Liouville equation (CSLE) in the particular case of the density function with the simple pole at the origin.
Gregory Natanson
doaj   +1 more source

Darboux transformations [PDF]

Transactions of the American Mathematical Society, 1967
Bruckner, A. M., Bruckner, J. B.
openaire   +1 more source

Restricted Flows and the Soliton Equation with Self-Consistent Sources

Symmetry, Integrability and Geometry: Methods and Applications, 2006
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V.B. Kuznetsov et al.
Runliang Lin, Haishen Yao, Yunbo Zeng
doaj  

Darboux transformations and random point processes

, 2014
In this paper we describe a general method to derive formulas relating the gap probability of some classical determinantal random point process (Airy, Pearcey and Hermite) with the gap probability of the processes related to the same kernels with "wanderers", "inliers" and "outliers".
Bertola, M., Cafasso, M.
openaire   +3 more sources

Analysis of High-Order Bright–Dark Rogue Waves in (2+1)-D Variable-Coefficient Zakharov Equation via Self-Similar and Darboux Transformations

Mathematics
This paper conducts an in-depth study on the self-similar transformation, Darboux transformation, and the excitation and propagation characteristics of high-order bright–dark rogue wave solutions in the (2+1)-dimensional variable-coefficient Zakharov ...
Hangwei Zhang, Jie Zong, Geng Tian, Guangmei Wei   +3 more
doaj   +1 more source

One-parameter Darboux Transformations in Thermodynamics [PDF]

AIP Conference Proceedings, 2002
6 pages, contribution at the AIP 1st International Conference on Quantum Limits to the Second Law, San Diego, CA, (main organizer: D.P.
openaire   +2 more sources

Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy

Complexity, 2019
An integrable lattice hierarchy is derived on the basis of a new matrix spectral problem. Then, some properties of this hierarchy are shown, such as the Liouville integrability, the bi-Hamiltonian structure, and infinitely many conservation laws.
Qianqian Yang, Qiulan Zhao, Xinyue Li
doaj   +1 more source