Results 81 to 90 of about 1,595,275 (210)
Darboux transformation of the generalized coupled dispersionless integrable system
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.
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Darboux transformations and Darboux coverings: some applications to the KP hierarchy
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Paolo Casati +4 more
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DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF TWO-BOSON HIERARCHY
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
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Supersymmetry and Darboux transformations
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
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Two-peak soliton in the CKP hierarchy [PDF]
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
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APPLICATION OF DARBOUX TRANSFORMATION TO MULTIDIMENSIONAL INHOMOGENEOUS PROBLEMS
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
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Darboux Transformation for the 3-Dimension Nonlinear Schrodinger Equation
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
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Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]
Fan C, Li L, Yu F.
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Darboux soft hair in 3D asymptotically flat spacetimes
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]
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
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