Results 101 to 110 of about 2,627,124 (242)

On a Certain Hyperbolic Partial Dierential Equation

, 2016
[[abstract]]The main objective of this paper is to study the existence, unique- ness and other properties of solutions of a certain hyperbolic partial dierential equation in two independent variables.
B. G. Pachpatte
core  

The Duffing Equation: Nonlinear Oscillators and their Behaviour

, 2011
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering ...
Brennan, Michael J. [UNESP], Kovacic, Ivana   +1 more
core   +1 more source

Numerical solution to nonlinear Tricomi equation using WENO schemes

Electronic Journal of Differential Equations, 2010
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu, Abdollah A. Afjeh, Carmen Sescu   +2 more
doaj  

Decomposition solution of nonlinear hyperbolic equations

Mathematical and Computer Modelling, 1990
The application of the decomposition method previously proposed by the author to dissipative wave equations of the form \(u_{tt}- u_{xx}+(\partial /\partial t)(f(u))=g\) is discussed. The initial- boundary value problem \(u_{tt}-u_{xx}+(\partial /\partial t)(u^ 2)=-2 \sin^ 2x\cdot \sin t\cdot \cos t,\) \(u(0,t)=u(\pi,t)=0,\) \(u(x,0)=\sin x,\) \(u_ t(x,
openaire   +2 more sources

AN INVERSE PROBLEM FOR A NONLINEAR HYPERBOLIC EQUATION

Eurasian Journal of Mathematical and Computer Applications
For a second-order hyperbolic equation with inhomogeneity |u|m−1u, m > 1, a forward and an one-dimensional inverse problems are studied. The inverse problem is devoted to determining the coefficient under heterogeneity. As an additional information, the trace of the derivative with respect to x of the solution to the forward initial-boundary value ...
V Romanov, T Bugueva
openaire   +1 more source

An energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term

Journal of Computational and Applied Mathematics, 2015
Ling-Di Wang, Wenbin Chen, Cheng Wang
semanticscholar   +1 more source

Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics

, 2008
In this chapter we deal with a hyperbolic system of conservation laws with a nonlinear coupling with a scalar elliptic equation, modeling radiation dynamics.
MASCIA, Corrado, LATTANZIO C, SERRE D., D. Serre, C. Mascia, MASCIA C, C. Lattanzio, LATTANZIO, CORRADO   +7 more
core   +1 more source

Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion

Results in Physics
The main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion.
Zhao Li, Chunyan Liu
doaj   +1 more source

Unveiling new exact solutions of the unstable nonlinear Schrödinger equation using the improved modified Sardar sub-equation method

Results in Physics
The improved modified Sardar sub-equation method is used in this study to look into the complex domain of the unstable nonlinear Schrödinger equation, which is a basic idea in quantum physics.
Muhammad Ishfaq Khan, Aamir Farooq, Kottakkaran Sooppy Nisar, Nehad Ali Shah   +3 more
doaj   +1 more source

Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.

PLoS ONE
By using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj   +1 more source