Results 91 to 100 of about 452 (186)

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

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

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

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  

General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation. [PDF]

Proc Math Phys Eng Sci, 2019
Ye Y, Zhou Y, Chen S, Baronio F, Grelu P.   +4 more
europepmc   +1 more source

Geometric Invariants and Evolution of RM Hasimoto Surfaces in Minkowski 3-Space ${\mathbb{E}}_1^3$

Mathematics
Research on surfaces generated by curves plays a central role in linking differential geometry with physical applications, especially following Hasimoto’s transformation and the development of Hasimoto-inspired surface models.
Emad Solouma, Sayed Saber, Marin Marin, Haci Mehmet Baskonus   +3 more
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

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

Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation. [PDF]

Sci Rep
Riaz HWA, Yildirim Y, Alshuhail A.
europepmc   +1 more source

Nonlocal complex short pulse equation in [Formula: see text]-symmetry like symmetry breaking, breather-grammian interactions and soliton solutions. [PDF]

Sci Rep
Amjad Z, Javed F, Pamucar D, Alosaimi M, Ashebo MA.   +4 more
europepmc   +1 more source