Results 71 to 80 of about 452 (186)

Supersymmetry and Darboux transformations

Journal of Physics: Conference Series, 2012
We study supersymmetry and Darboux transformations for generalized Schrodinger equations with a position-dependent mass and with linearly energy-dependent potentials. The formally adjoint generators of supersymmetry and two superpartner Hamiltonians are constructed and they close a quadratic pseudo-superalgebra for our class of equations.
A A Suzko, E Velicheva
openaire   +1 more source

APPLICATION OF DARBOUX TRANSFORMATION TO MULTIDIMENSIONAL INHOMOGENEOUS PROBLEMS

TASK Quarterly, 2016
General properties of ladder operators applied to inhomogeneous problems are studied in the context of their usefulness for solving practical problems with stress put on the possibility of embedding the interwine relation onto a wider class of operators.
GRZEGORZ KWIATKOWSKI
doaj   +1 more source

Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]

Sci Rep, 2023
Fan C, Li L, Yu F.
europepmc   +1 more source

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
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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  

Darboux transformation for the discrete Schrödinger equation

Electronic Journal of Differential Equations, 2018
The discrete Schrödinger equation on a half-line lattice with the Dirichlet boundary condition is considered when the potential is real valued, is summable, and has a finite first moment. The Darboux transformation formulas are derived from first principles showing how the potential and the wavefunction change when a bound state is added to or removed ...
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou   +2 more
openaire   +4 more sources

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

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  

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
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