First-order nonlinear hyperbolic equations

Results 61 to 70 of about 88,453 (147)

Oscillation analysis of certain nonlinear impulsive delay hyperbolic equations with damping term(一类带阻尼项的非线性脉冲时滞双曲型方程的振动性分析)

Zhejiang Daxue xuebao. Lixue ban
The oscillation problem is investigated for a class of nonlinear impulsive delay hyperbolic equations with damping term. By employing the technique of treating damping term and some known results on first order impulsive delay differential inequalities ...
罗李平(LUO Liping), 曾云辉(ZENG Yunhui) +1 more
doaj +1 more source

Acoustic gravity waves: A computational approach [PDF]

This paper discusses numerical solutions of a hyperbolic initial boundary value problem that arises from acoustic wave propagation in the atmosphere. Field equations are derived from the atmospheric fluid flow governed by the Euler equations.
Dutt, P. K., Hariharan, S. I.
core +1 more source

Explicit exact solutions and bifurcation analysis for the mZK equation with truncated M-fractional derivatives utilizing two reliable methods

Open Physics
The (2+1)\left(2+1)-dimensional modified Zakharov–Kuznetsov (mZK) partial differential equation is of importance as a model for phenomena in various physical fields such as discrete electrical lattices, electrical waves in cold plasmas, nonlinear optical
Malingam Pim +2 more
doaj +1 more source

Dynamics of Soliton Solutions to Nonlinear Dynamical Equations in Mathematical Physics: Application of Neural Network-Based Symbolic Methods

Mathematics
While recent advances have successfully integrated neural networks with physical models to derive numerical solutions, there remains a compelling need to obtain exact analytical solutions.
Jan Muhammad +3 more
doaj +1 more source

Traveling synchronized asymmetric two-waves in the propagation of the KdV and mKdV equations incorporating time-space dispersion terms

Partial Differential Equations in Applied Mathematics
Joseph and Egri revised the standard Korteweg-de Vries equation by replacing its third-order space dispersion term by space-time dispersions aiming to adjust the wave speed and preserve frequency stability. The aim of the current study is twofold. First,
Marwan Alquran, Imad Jaradat
doaj +1 more source

Interaction Solutions for the Fractional KdVSKR Equations in (1+1)-Dimension and (2+1)-Dimension

Fractal and Fractional
We extend two KdVSKR models to fractional KdVSKR models with the Caputo derivative. The KdVSKR equation in (2+1)-dimension, which is a recent extension of the KdVSKR equation in (1+1)-dimension, can model the soliton resonances in shallow water. Applying
Lihua Zhang +4 more
doaj +1 more source

Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations

, 2005
We derive an asymptotic solution of the vacuum Einstein equations that describes the propagation and diffraction of a localized, large-amplitude, rapidly-varying gravitational wave.
Ali, Giuseppe, Hunter, John K.
core

Probabilistic Forecast of Multiphase Transport Under Viscous and Buoyancy Forces in Heterogeneous Porous Media

Water Resources Research
We develop a probabilistic approach to map parametric uncertainty to output state uncertainty in first‐order hyperbolic conservation laws. We analyze this problem for nonlinear immiscible two‐phase transport in heterogeneous porous media in the presence ...
Farzaneh Rajabi, Hamdi A. Tchelepi
doaj +1 more source

Shock sets for first order nonlinear hyperbolic equations [PDF]

Pacific Journal of Mathematics, 1972
openaire +3 more sources

Introduction of a Simple Cnoidal Wave Formulation Based on Nonlinear Interaction of Wave-Wave Principles

International Journal of Coastal and Offshore Engineering, 2017
In this study, a simple and efficient approach based on nonlinear wave interaction fundamentals is theoretically proposed to generate surface profile of the cnoidal waves.
Seyed Masoud Mahmoudof, Fatemeh Hajivalie +1 more
doaj

nonlinear equations in partial derivatives
hyperbolic equations