Results 91 to 100 of about 11,974 (188)

Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

Abstract and Applied Analysis, 2014
We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects.
Rui Guo, Hui-Qin Hao, Xiao-Song Gu
doaj   +1 more source

Bäcklund Transformations for the Trigonometric Gaudin Magnet

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality ...
Federico Zullo, Orlando Ragnisco
doaj   +1 more source

Darboux transformation for the discrete Schrodinger equation

Electronic Journal of Differential Equations, 2019
The discrete Schrodinger 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.
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou   +2 more
doaj  

Isospectral property of double Darboux transformation

, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Urakubo, Masami, Ohmiya, Mayumi
openaire   +4 more sources

The m-component super KP hierarchy in Kac-van de Leur version

Physics Letters B
In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators.
Huizhan Chen
doaj   +1 more source

Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds. [PDF]

Sci Rep, 2022
Wang L, Li L, Yu F.
europepmc   +1 more source

Multiple mixed solutions of the nonlocal sine-Gordon equation

European Physical Journal C: Particles and Fields
In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types
Jian Li, Junsheng Duan, Yan Li, Chuanzhong Li   +3 more
doaj   +1 more source

Double Wronskian Representation of the Nth-Order Solutions to the Davey–Stewartson Equations

Axioms
Solutions to the Davey–Stewartson equations (DS) in terms of the determinants of order 2N depending on 4N real parameters are constructed. The Darboux transformation is used to construct solutions of order N to this equation.
Pierre Gaillard
doaj   +1 more source

Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem

Symmetry, Integrability and Geometry: Methods and Applications, 2007
A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas
Alexander Sakhnovich
doaj  

Confluent Darboux Transformations and Wronskians for Algebraic Solutions of the Painlevé III (D₇) Equation

Mathematics
Darboux transformations are relations between the eigenfunctions and coefficients of a pair of linear differential operators, while Painlevé equations are nonlinear ordinary differential equations whose solutions arise in diverse areas of applied ...
Joe W. E. Harrow, Andrew N. W. Hone
doaj   +1 more source