Results 91 to 100 of about 86,829 (231)
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
The Extended Estabrook-Wahlquist Method [PDF]
, 2014 Variable Coefficient Korteweg de Vries (vcKdV), Modified Korteweg de Vries (vcMKdV), and nonlinear Schrodinger (NLS) equations have a long history dating from their derivation in various applications.
Choudhury, Roy, Russo, Matthew
core
A symmetric difference-differential Lax pair for Painlevé VI [PDF]
Journal of Integrable Systems, 2017 We present a Lax pair for the sixth Painlev equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair. We show how the discrete isomonodromic deformations of the associated linear problem gives us a discrete ...
Ormerod, Christopher M., Rains, Eric
openaire +3 more sources
Business Strategy and the Environment, EarlyView.ABSTRACT This study systematizes the literature on eco‐innovation and economic complexity, aiming to understand how the sophistication of productive structures shapes countries' capacity to develop environmentally responsible innovations, and how eco‐innovation may, in turn, influence productive sophistication.
Gregory Matheus Pereira de Moraes +1 more
wiley +1 more source
Nonlocal Reductions of a Generalized Heisenberg Ferromagnet Equation
, 2019 We study nonlocal reductions of coupled equations in $1+1$ dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax pair related to a linear bundle in pole gauge. We describe the integrable
Myrzakulov, R. +3 more
core +1 more source
Cytoskeleton, EarlyView.ABSTRACT Lateral root (LR) organogenesis is regulated by cellular flux of auxin within pericycle cells, which depends on the membrane distribution and polar localization of auxin carrier proteins. The correct distribution of auxin carrier proteins relies on the intracellular trafficking of these proteins aided by filamentous actin as a track.
Aya Hanzawa +2 more
wiley +1 more source
Lax pair for SU(n) Hubbard model
, 1998 For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions.
Lieb E. +6 more
core +1 more source
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2005 The relationship between solutions of the sinh-Laplace equation and the determination of various kinds of surfaces of constant Gaussian curvature, both positive and negative, will be investigated here.
Paul Bracken
doaj +1 more source
A Lax Pair Structure for the Half-Wave Maps Equation
, 2017 We consider the half-wave maps equation $$ \partial_t \vec{S} = \vec{S} \wedge |\nabla| \vec{S}, $$ where $\vec{S}= \vec{S}(t,x)$ takes values on the two-dimensional unit sphere $\mathbb{S}^2$ and $x \in \mathbb{R}$ (real line case) or $x \in \mathbb{T}$
Gérard, Patrick, Lenzmann, Enno
core +1 more source