Results 21 to 30 of about 2,080,723 (304)
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
core +1 more source
New extended generalized Kudryashov method for solving three nonlinear partial differential equations [PDF]
New extended generalized Kudryashov method is proposed in this paper for the first time. Many solitons and other solutions of three nonlinear partial differential equations (PDEs), namely, the (1+1)-dimensional improved perturbed nonlinear Schrödinger ...
Alngar, Mohamed E.M. +2 more
core +1 more source
A Unified Approach to Some Classes of Nonlinear Integral Equations
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev +2 more
doaj +1 more source
In the framework of the self-consistent Maxwell-Pauli theory, the non-linear Pauli equation is obtained. Stationary and nonstationary solutions of the nonlinear Pauli equation for the hydrogen atom are studied. We show that spontaneous emission and the related rearrangement of the internal structure of an atom, which is traditionally called a ...
openaire +2 more sources
The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
doaj +1 more source
Explicit solutions to vertical and horizontal displacements are derived for large deformation of a cantilever beam under point load at the free end by an improved homotopy analysis method (IHAM).
Yinshan Li +3 more
doaj +1 more source
The aim of this paper is to prove the existence and uniqueness of weak solutions to a nonlinear beam equation with linear boundary and initial conditions. The nonlinear term appearing in the beam equation is \([g(w_{xx})]_{xx}\), where \(w=w(x,t)\) is the deflection, \(g\) is a given nonlinear function satisfying a local Lipschitz condition only.
Azmy S. Ackleh +2 more
openaire +2 more sources
On Schrödinger Equations with Concentrated Nonlinearities [PDF]
24 pages with figures, compressed and uuencoded ps ...
JONALASINIO G +2 more
openaire +3 more sources
Structured Systems of Nonlinear Equations
In a "structured system" of equations, each equation depends on a specified subset of the variables. In this article, we explore properties common to "almost every" system with a fixed structure and how the properties can be read from the corresponding connection graph.
Sana Jahedi +2 more
openaire +4 more sources
Modeling nonlinear systems using multiple piecewise linear equations [PDF]
This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the  ...
Lowe, G. K. K., Zohdy, M. A. A.
core +1 more source

