Results 21 to 30 of about 114,210 (291)

Evolution of solitary waves and undular bores in shallow-water flows over a gradual slope with bottom friction [PDF]

, 2007
This paper considers the propagation of shallow-water solitary and nonlinear periodic waves over a gradual slope with bottom friction in the framework of a variable-coefficient Korteweg-de Vries equation.
El, Gennady, GRIMSHAW, R. H. J., KAMCHATNOV, A. M.   +2 more
core   +2 more sources

New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation

Abstract and Applied Analysis, 2013
By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained.
XiaoHua Liu, CaiXia He
doaj   +1 more source

Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation

Results in Physics, 2016
The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
doaj   +1 more source

Metastability of solitary roll wave solutions of the St. Venant equations with viscosity [PDF]

, 2010
We study by a combination of numerical and analytical Evans function techniques the stability of solitary wave solutions of the St. Venant equations for viscous shallow-water flow down an incline, and related models.
Alexander, Azevedo, Azevedo, Balmforth, Barker, Barker, Blake Barker, Brin, Brin, Carter, Chang, Curtis, Deconinck, Dressler, Gardner, Gardner, Godillon, Henry, Humpherys, Humpherys, Humpherys, Hwang, Johnson, Johnson, Kato, Kevin Zumbrun, Kierzenka, L. Miguel Rodrigues, Lyng, Mascia, Mascia, Mascia, Mathew A. Johnson, Métivier, Noble, Noble, Oh, Pego, Pego, Pego, Plaza, Sandstede, Sattinger, Texier, Texier, Win, Yu, Zumbrun, Zumbrun, Zumbrun, Zumbrun, Zumbrun   +51 more
core   +2 more sources

The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System

Advances in Mathematical Physics, 2015
The integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series.
Chuanjian Wang, Zhengde Dai, Changfu Liu
doaj   +1 more source

Switching dynamics of spatial solitary wave pixels [PDF]

, 1993
Separatrices and scaling laws in the switching dynamics of spatial solitary wave pixels are investigated. We show that the dynamics in the full model are similar to those in the plane-wave limit.
Abraham, Abraham, Adachihara, Aitchison, Bigot, Bigot, Bonifacio, Bonifacio, De La Fuente, Erneux, G. S. McDonald, Grynberg, Hammel, Haus, Honerlage, Hopf, Hopf, Hopf, Mandel, Mandel, Maneuf, McDonald, McDonald, Mitschke, Segard, Segard, Segard, W. J. Firth   +27 more
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations

Discrete Dynamics in Nature and Society, 2021
In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
doaj   +1 more source

Numerical study on diverging probability density function of flat-top solitons in an extended Korteweg-de Vries equation [PDF]

, 2009
We consider an extended Korteweg-de Vries (eKdV) equation, the usual Korteweg-de Vries equation with inclusion of an additional cubic nonlinearity. We investigate the statistical behaviour of flat-top solitary waves described by an eKdV equation in the ...
Ablowitz M, Agrawal G P, Grimshaw R, Grimshaw R, Holloway P, Karpman V I, Ma W X, Newell A C, Yeojin Chung   +8 more
core   +1 more source

Numerical study on breaking solitary wave force on box-girder bridge

Advances in Bridge Engineering, 2021
Solitary wave is often used to simulate tsunami propagating in deep water and breaking solitary wave is often used to simulate tsunami bore propagating in shallow water or on land.
Wanli Yang, Sijing Li, Junling Liu, Wenbo Wu, Hui Li, Ning Wang   +5 more
doaj   +1 more source

Modified Korteweg-de Vries Hierachies in Multiple-Times Variables and the Solutions of Modified Boussinesq Equations

, 1997
We study solitary-wave and kink-wave solutions of a modified Boussinesq equation through a multiple-time reductive perturbation method. We use appropriated modified Korteweg-de Vries hierarchies to eliminate secular producing terms in each order of the ...
Manna, M. A., Merle, V.
core   +1 more source