Results 31 to 40 of about 2,529,460 (286)

DAVEY-STEWARTSON EQUATION FROM A ZERO CURVATURE AND A SELF-DUALITY CONDITION [PDF]

Modern Physics Letters A, 1994
We derive the two equations of Davey-Stewartson type from a zero curvature condition associated with SL(2, ℝ) in (2+1) dimensions. We show in general how a (2+1)dimensional zero curvature condition can be obtained from the self-duality condition in (3+3) dimensions and show in particular how the Davey-Stewartson equations can be obtained from the self-
Brunelli, J. C., Das, Ashok
openaire   +2 more sources

Mean curvature flow with triple junctions in higher space dimensions [PDF]

, 2012
We consider mean curvature ow of n-dimensional surface clusters. At (
Garcke, Harald, Depner, Daniel, Kohsaka, Yoshihito   +2 more
core   +1 more source

An Application of Variational Minimization: Quasi-Harmonic Coons Patches

Journal of Function Spaces, 2022
For a minimal surface, the mean curvature of the surface vanishes for all possible parameterizations which results in a second-order nonlinear partial differential equation (pde), whose solution in general is the desired surface as the unknown function ...
Daud Ahmad, Kiran Naz, Sadia Bashir, Abdul Bariq   +3 more
doaj   +1 more source

Bernoulli jets and the zero mean curvature equation

, 2006
We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense.
Valdinoci, E, Enrico Valdinoci, E. Valdinoci, VALDINOCI, ENRICO   +3 more
core   +1 more source

The characteristic curvature (Cc) definition and its use in assessing Cc for single ionic surfactants [PDF]

, 2022
The Hydrophilic-Lipophilic-Difference (HLD) is a set of empirical equations that correlate the formulation conditions at phase inversion (HLD=0). Based on partition studies for nonionic surfactants, the HLD can be interpreted as a normalized chemical ...
Edgar, Acosta, Zhuotao, Leng
core   +1 more source

A Class of Multi-Component Non-Isospectral TD Hierarchies and Their Bi-Hamiltonian Structures

Axioms
By using the classical Lie algebra, the stationary zero curvature equation, and the Lenard recursion equations, we obtain the non-isospectral TD hierarchy.
Jianduo Yu, Haifeng Wang
doaj   +1 more source

Polynomial alignment using general transition curves [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences, 1921
This paper presents a new approach to the design methodology of road routes, in literature often referred to as the polynomial alignment. The author proposes the use of the so-called general transition curves that have been described in detail in his ...
Andrzej Kobryń
doaj   +1 more source

Quantum groups, Yang–Baxter maps and quasi-determinants

Nuclear Physics B, 2018
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj   +1 more source

A New Super Extension of Dirac Hierarchy

Abstract and Applied Analysis, 2014
We derive a new super extension of the Dirac hierarchy associated with a 3×3 matrix super spectral problem with the help of the zero-curvature equation. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear
Jiao Zhang, Fucai You, Yan Zhao
doaj   +1 more source

On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation

Mathematics, 2019
A vector modified Yajima−Oikawa long-wave−short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and ...
Xianguo Geng, Ruomeng Li
doaj   +1 more source