Search
Search Results
-
-
An optimal System of Lie Subalgebras and Group-Invariant Solutions with Conserved Currents of a (3+1)-D Fifth-Order Nonlinear Model I with Applications in Electrical Electronics, Chemical Engineering and Pharmacy
Higher-dimensional nonlinear integrable partial differential equations are significant as they often describe diverse phenomena in nonlinear systems...
-
The local information of equivariant sheaves and elliptic difference equations
We study the singularities of algebraic difference equations on curves from the point of view of equivariant sheaves. We propose a definition for the...
-
Combinatorial Problems and Extreme Values
The interplay between combinatorics and probability started in the early history of probability theory, when combinatorics was used to calculate the...
-
Complexity and Integrability in 4D Bi-rational Maps with Two Invariants
In this letter we give fourth-order autonomous recurrence relations with two invariants, whose degree growth is cubic or exponential. These examples...
-
-
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature
We develop a theory for distributed branch points and investigate their role in determining the shape and influencing the mechanics of thin...
-
Nonsingular Rational Solutions to Integrable Models
In the literature, there have been considerable interests in the study of nonsingular rational solutions for nonlinear integrable models. These...
-
Robust and continuous metric subregularity for linear inequality systems
This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data...
-
Introduction to the Theory of Elliptic Hypergeometric Integrals
We give a brief account of the key properties of elliptic hypergeometric integrals—a relatively recently discovered top class of transcendental...
-
From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals
In this contribution, we present an overview of standard orthogonal polynomials by using an algebraic approach. Discrete Darboux transformations of...
-
The rational Heun operator and Wilson biorthogonal functions
We consider the rational Heun operator defined as the most general second-order q -difference operator which sends any rational function of type
... -
Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions
In many practical applications models exhibiting chance constraints play a role. Since, in practice one is also typically interesting in numerically...
-
Ultradiscrete analogues of the hard-spring equation and its conserved quantity
The ultradiscrete analogues with parity variables of the so-called hard spring equation and its conserved quantity are proposed. Solutions of the...
-
Revisiting the Human and Nature Dynamics Model
We present a simple model for describing the dynamics of the interaction between a homogeneous population or society, and the natural resources and...
-
On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)
Let c be a nonzero constant and f ( z ) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships...
-
Davey–Stewartson and Related Systems
In this chapter we first recall the derivation of Davey–Stewartson systems in the context of water waves. Actually the Davey–Stewartson systems are...
-
Solving continuous set covering problems by means of semi-infinite optimization
This article introduces the new class of continuous set covering problems. These optimization problems result, among others, from product portfolio...
-
On the Integrability of the Abel and of the Extended Liénard Equations
We present some exact integrability cases of the extended Liénard equation y ″ + f ( y )( y ′) n + k ( y )( y ′) m + g ( y ) y ′ + h ( y ) = 0, with n > 0 and m > 0...