Results 41 to 50 of about 3,408 (164)
Scientific ReportsWe present a noncommutative generalization of the semi-discrete coupled dispersionless integrable system. The motivation stems from the role of noncommutative geometry in string theory and D-brane dynamics, and the need to understand soliton dynamics in ...
H. W. A. Riaz +2 more
doaj +1 more source
Partial Differential Equations in Applied MathematicsMatrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations ...
Sergei Igonin
doaj +1 more source
The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Nuclear Physics BUsing the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj +1 more source
Journal of High Energy Physics, 2018 Surprising links between the deformation of 2D quantum field theories induced by the composite T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ operator, effective string models and the AdS/CFT correspondence, have recently emerged.
Riccardo Conti +3 more
doaj +1 more source
Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
doaj +1 more source
Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
doaj +1 more source
Advances in Mathematical Physics, 2018 Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation.
Ting Su, Hui Hui Dai
doaj +1 more source
Lax pair formulation for the Euler equation [PDF]
Physics Letters A, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Friedlander, Susan, Vishik, Misha M.
openaire +2 more sources
Construction of a Lax Pair for the E_6^{(1)} q-Painlevé System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We construct a Lax pair for the $ E^{(1)}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv ...
Christopher M. Ormerod +1 more
doaj +1 more source
Integrable coupled massive Thirring model with field values in a Grassmann algebra
Journal of High Energy Physics, 2023 A coupled massive Thirring model of two interacting Dirac spinors in 1 + 1 dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1) version of the Grassmannian Thirring model also introduced in this ...
B. Basu-Mallick +3 more
doaj +1 more source