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
Bäcklund transformation and soliton solutions for a generalized Wadati-Konno-Ichikawa equation
AIMS MathematicsBy employing a reciprocal transformation, we relate the generalized Wadati–Konno–Ichikawa (gWKI) equation to an associated gWKI (agWKI) equation. Utilizing the Darboux transformation of the agWKI equation and Bianchi's theorem of permutability, we derive
Chenglu Zhu, Lihua Wu
doaj +1 more source
Wronskian-type determinant solutions of the nonlocal derivative nonlinear Schrödinger equation
AIMS MathematicsA nonlocal derivative nonlinear Schrödinger (DNLS) equation is analytically studied in this paper. By constructing Darboux transformations (DTs) of arbitrary order, new determinant solutions of the nonlocal DNLS equation in the form of Wronskian-type are
Dexin Meng
doaj +1 more source
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
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 +2 more
doaj
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
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
General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation. [PDF]
Proc Math Phys Eng Sci, 2019 Ye Y +4 more
europepmc +1 more source
The m-component super KP hierarchy in Kac-van de Leur version
Physics Letters BIn 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 novel soliton solution, breather solution and Darboux transformation for a generalized coupled Toda soliton hierarchy. [PDF]
Sci Rep, 2018 Yu F, Li L, Feng S.
europepmc +1 more source