Search
Search Results
-
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and...
-
Continuum limit of 2D fractional nonlinear Schrödinger equation
We prove that the solutions to the discrete nonlinear Schrödinger equation with non-local algebraically decaying coupling converge strongly in
... 
-
Numerical solution of one-dimensional nonlinear Sine–Gordon equation using LOOCV with exponential B-spline
In this paper, the one-dimensional nonlinear Sine–Gordon equation is solved using the “Exponential modified cubic B-spline differential quadrature...
-
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary dam** and source terms
This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary dam**-source interactions in a bounded domain....
-
Hierarchical Controllability for a Nonlinear Parabolic Equation in One Dimension
This paper deals with the hierarchical control of a nonlinear parabolic equation in one dimension. The novelty in this work is the appearance of the...
-
Nonclassical Symmetries, Nonlinear Self-adjointness, Conservation Laws and Some New Exact Solutions of Cylindrical KdV Equation
This paper is devoted to obtain some new exact solutions to the cylindrical KdV equation using nonclassical symmetry analysis. Classical Lie point...
-
Robust Stability of the Attractor of a Nonlinear Wave Equation Without Uniqueness of the Solution
We study the qualitative behavior of a nonlinear wave equation with nonsmooth interaction function subjected to the action of external bounded...
-
Peakon, Periodic Peakons, Compactons and Bifurcations of nonlinear Schrödinger’s Equation with Kudryashov’s Law of Refractive Index
In this paper, we consider the nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index. By using the method of dynamical systems,...
-
On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters
AbstractWe consider a guaranteed control problem for a nonlinear distributed equation of diffusion type. The problem is essentially to construct a...
-
A numerical technique based on Legendre wavelet for linear and nonlinear hyperbolic telegraph equation
This study is devoted to the numerical investigation of linear and nonlinear hyperbolic telegraph equation. We have proposed a wavelet collocation...
-
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation
AbstractWe developed a technique for the numerical solution of a nonlinear equation describing the diffusion transfer of radiation energy. The method...
-
-
Nonlinear Schrödinger Equation with Singularities
We describe results on certain types of nonlinear Schrödinger equations, mainly the cubic equation with or without potential. We are interested in...
-
Stability Problem for the Nonlinear Functional Equation
We discuss on the stability for functional equations in a single variable. We will prove the theorem about the stability of the nonlinear functional...
-
Classical Solution of the Second Mixed Problem for the Telegraph Equation with a Nonlinear Potential
AbstractFor the telegraph equation with a nonlinear potential, we consider a mixed problem in the first quadrant in which the Cauchy conditions are...
-
Doubly nonlinear isotropic fractional parabolic equation
In this paper, we investigate the existence of solutions for the perturbed double nonlinear isotropic degenerate fractional parabolic problem within...
-
Global weak solutions to a nonlinear equation with fourth order nonlinearities
Global weak solution for a nonlinear model with forth order nonlinearities and conserved quantities is considered. Assuming its initial value...
-
A finite time extinction profile and optimal decay for a fast diffusive doubly nonlinear equation
In this article, we consider a fast diffusive type doubly nonlinear parabolic equation and study the extinction behavior of a solution at a finite...
