Results 71 to 80 of about 11,974 (188)

Darboux transformations for SUSY integrable systems [PDF]

, 2007
13 pages. LaTeX209 with LamuPhys and EPSF packages, 3 figures. Contribution to the proceedings of the "Integrable Models and Supersymmetry" meeting held at Chicago on July ...
Liu, Q. P., Manas, Manuel
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Darboux transformation for classical acoustic spectral problem

International Journal of Mathematics and Mathematical Sciences, 2003
We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem.
A. A. Yurova, A. V. Yurov, M. Rudnev
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Algebraic construction of the Darboux matrix revisited

, 2009
We present algebraic construction of Darboux matrices for 1+1-dimensional integrable systems of nonlinear partial differential equations with a special stress on the nonisospectral case.
Arnold W I, Bart H, Belinsky V A, Bobenko A I, Bobenko A I, Bohner M, Boiti M, Boutet de Monvel A, Burtsev S P, Cieśliński J, Cieśliński J L, Cieśliński J L, Cieśliński J L, Cieśliński J L, Coley A, Darboux G, Doktorov E V, Gohberg I, Gu G C, Gu G C, Guest M A, Hoenselaers C, Its A R, Jan L Cieśliński, Krichever I M, Leble S B, Levi D, Matveev V B, Mañas M, Meinel R, Mikhailov A V, Mikhailov A V, Neugebauer G, Nijhoff F, Nimmo J J C, Novikov S P, Oevel W, Pressley A N, Rogers C, Sakhnovich A L, Sakhnovich L A, Sakhnovich L A, Saleem U, Shabat A B, Shin H J, Terng C L, Uhlenbeck K, Zakharov V E, Zakharov V E, Zakharov V E, Zhou Z X   +50 more
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Fractional Darboux Transformations

, 2002
In this paper we utilize the covariance of Ricatti equation with respect to linear fractional transformations to define classes of conformally equivalent second order differential equations. This motivates then the introduction of fractional Darboux transformations which can be recognized also as generalized Cole-Hopf transformations.
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B��cklund--Darboux transformations in Sato's Grassmannian

, 1996
We define B cklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.
Bakalov, B., Horozov, E., Yakimov, M.
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Quasi-Grammian Solutions of the Generalized Coupled Dispersionless Integrable System

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The standard binary Darboux transformation is investigated and is used to obtain quasi-Grammian multisoliton solutions of the generalized coupled dispersionless integrable system.
Bushra Haider, Mahmood-ul Hassan
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A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources

, 2004
The mKP equation with self-consistent sources (mKPESCS) is treated in the framework of the constrained mKP hierarchy. We introduce a new constrained mKP hierarchy which may be viewed as the stationary hierarchy of the mKP hierarchy with self-consistent ...
Chen, Cheng, Cheng, Claude, Date, Deng, Dickey, Dickey, Doktorov, Estévez, Geng, Konopelchenko, Leon, Leon, Lin, Matveev, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Mel’nikov, Oevel, Ohta, Sidorenko, Ting Xiao, Xiao, Ye, Yunbo Zeng, Zeng, Zeng, Zeng, Zeng   +32 more
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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 Transformations, Infinitesimal Symmetries and Conservation Laws for Nonlocal Two-Dimensional Toda Lattice

, 2002
The technique of Darboux transformation is applied to nonlocal partner of two-dimensional periodic A_{n-1} Toda lattice. This system is shown to admit a representation as the compatibility conditions of direct and dual overdetermined linear systems with ...
Benjamin T B, Benjamin T B, Bobenko A I, Bogoyavlenskii O I, Bogoyavlenskii O I, Case K M, Davis R E, Degasperis A, Degasperis A, Hirota R, Joseph R I, Joseph R I, Kubota T, Matsuno Y, Matveev V B, Matveev V B, Mikhailov A V, Mikhailov A V, N V Ustinov, Nakamura A, Novikov S P, Ono H, Salle M A   +22 more
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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
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