Results 81 to 90 of about 1,595,275 (210)

Darboux transformation of the generalized coupled dispersionless integrable system

open access: yes, 2009
The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable system based on a non-Abelian Lie group is studied, and the solutions are shown to be expressed in terms of quasideterminants. As an explicit example, the
Hassan, M.
core   +2 more sources

Darboux transformations and Darboux coverings: some applications to the KP hierarchy

open access: yesMatemática Contemporânea, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo Casati   +4 more
openaire   +2 more sources

DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF TWO-BOSON HIERARCHY

open access: yes, 2011
We study Darboux transformations for the two boson (TB) hierarchy both in the scalar as well as in the matrix descriptions of the linear equation.
U. SALEEM, ASHOK DAS
core   +1 more source

Supersymmetry and Darboux transformations

open access: yesJournal 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

Two-peak soliton in the CKP hierarchy [PDF]

open access: yes, 2006
We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi   +2 more
core   +1 more source

APPLICATION OF DARBOUX TRANSFORMATION TO MULTIDIMENSIONAL INHOMOGENEOUS PROBLEMS

open access: yesTASK 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

Darboux Transformation for the 3-Dimension Nonlinear Schrodinger Equation

open access: yesIEEE 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

open access: yesPhysics 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]

open access: yesМатематичні 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  

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