Results 271 to 280 of about 155,027 (310)

Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems

International Journal of Bifurcation and Chaos, 2021
This paper studies two two-component shallow water wave models. From the dynamical systems approach and using the singular traveling wave theory developed by Li and Chen [2007], all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are obtained under different parameter ...
Jibin Li 0001, Guanrong Chen, Yan Zhou
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On Solutions for Two Waves with Periodic Coupling

Bell System Technical Journal, 1968
An exact solution for the coupling effects between two waves with a particular complex periodic coupling function is presented; the particular coupling function gives the same wave interactions as constant coupling but at a translated value of differential phase constant.
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The reference wave solution for a two-frequency wave propagating in a random medium

Waves in Random Media, 2002
Summary: A new reference wave method for solving parabolic-type equations is proposed. The performance of the method is demonstrated by applying it to the equation governing the propagation of the two-frequency mutual coherence function in a random medium. An analytic solution is presented for arbitrary correlation properties of the medium. It is shown
Bronshtein, Alexander, Mazar, Reuven
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Traveling Wave Solutions for Two Perturbed Nonlinear Wave Equations with Distributed Delay

Qualitative Theory of Dynamical Systems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jundong, Zhang, Lijun, Huo, Xuwen, Ma, Na, Khalique, Chaudry Masood   +4 more
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Two types of traveling wave solutions to burgers-KdV equations

Applied Mathematics and Mechanics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Yufeng, Zhang, Hongqing
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Traveling wave solution for two kinds of reaction-diffusion equations

Journal of Shanghai University (English Edition), 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Jianlan, Zhang, Hanlin
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Cylindrical gravitational waves with two degrees of freedom: An exact solution

Physical Review D, 1986
The exact two-parameter solution of Einstein's equations described below represents ingoing and outgoing cylindrical gravitational waves with two degrees of polarization. It has been obtained from the Kerr metric by applying a well-known trick but, unlike the Kerr metric, it has no singularities.
, Piran, , Safier, , Katz
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Two kinds of wave in an oscillating chemical solution

Faraday Symposia of the Chemical Society, 1974
Wavelike phenomena in a chemical solution oscillating at period T fall into two classes: (1) diffusion-independent but oscillation-dependent structures repeating at intervals T, and (2) diffusion-dependent but oscillation-independent structures derived from threadlike filaments of “scroll axis”, repeating at intervals T0 much less than T.This paper ...
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Two types of bounded traveling-wave solutions of a two-component Camassa–Holm equation

Applied Mathematics and Computation, 2013
The Camassa-Holm equation (CH) is a well-known integrable model which describes dynamics of unidirectional nonlinear dispersive waves in shallow water. This paper is concerned with the two-component Camassa-Holm system (CH2) which includes both velocity and density variables in dynamics and is a generalization of the classical Camassa-Holm equation ...
Shaolong Xie, Yuzhong Zhang, Jianghua He
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On two solutions of fifth order Stokes waves

Applied Ocean Research, 1995
Abstract It has been demonstrated numerically that there are two real solutions of the dispersion relation of fifth order Stokes waves given by Skjelbreia and Hendrickson (Fifth order gravity wave theory, Proc. 7th Coastal Engng Conf. , The Hague, 1960, pp. 184–196) which is widely used and recommended in offshore codes of practice.
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