Results 41 to 50 of about 378,114 (193)

New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation

open access: yesAdvances in Mathematical Physics, 2021
Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation.
Yiren Chen, Shaoyong Li
doaj   +1 more source

Chaos in Magnetoplasmas [PDF]

open access: yesNonlinear Processes in Geophysics, 1999
A nonlinear wave, in general, is equivalent to a nonlinear dynamical system, which exhibits the phenomena of chaos. By means of techniques of nonlinear dynamical systems, we have investigated the conditions under which nonlinear Alfvén waves and lower-
B. Buti
doaj  

A Comparative Study on Generation and Propagation of Nonlinear Waves in Shallow Waters

open access: yesJournal of Marine Science and Engineering, 2023
This study is concerned with the generation and propagation of strongly nonlinear waves in shallow water. A numerical wave flume is developed where nonlinear waves of solitary and cnoidal types are generated by use of the Level I Green-Naghdi (GN ...
Jiaqi Liu   +2 more
doaj   +1 more source

On the validity of nonlinear Alfvén resonance in space plasmas [PDF]

open access: yes, 2008
Aims. In the approximation of linear dissipative magnetohydrodynamics (MHD), it can be shown that driven MHD waves in magnetic plasmas with high Reynolds number exhibit a near resonant behaviour if the frequency of the wave becomes equal to the local ...
Arregui   +35 more
core   +3 more sources

The modified Korteweg - de Vries equation in the theory of large - amplitude internal waves [PDF]

open access: yesNonlinear Processes in Geophysics, 1997
The propagation of large- amplitude internal waves in the ocean is studied here for the case when the nonlinear effects are of cubic order, leading to the modified Korteweg - de Vries equation.
R. Grimshaw, E. Pelinovsky, T. Talipova
doaj  

Reynolds stresses and mean fields generated by pure waves: applications to shear flows and convection in a rotating shell [PDF]

open access: yes, 2008
A general reformulation of the Reynolds stresses created by two-dimensional waves breaking a translational or a rotational invariance is described. This reformulation emphasizes the importance of a geometrical factor: the slope of the separatrices of the
Busse   +7 more
core   +3 more sources

Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions

open access: yesResults in Physics, 2018
The problem formulations of the nonlinear for the small-long amplitude two-dimensional water waves propagation with free surface are studied. The water wave problem leads to the nonlinear Olver dynamical equation. By applying the extended mapping method,
Aly R. Seadawy, Sultan Z. Alamri
doaj   +1 more source

The solitonic solutions of finite depth long water wave models

open access: yesResults in Physics, 2022
The nonlinear Fokas and breaking soliton equations are important modeling equations for coastal and ocean waves, such as long water waves and tsunami waves.
M. Ali Akbar   +2 more
doaj   +1 more source

Experimental Study of Parametric Autoresonance in Faraday Waves

open access: yes, 2006
The excitation of large amplitude nonlinear waves is achieved via parametric autoresonance of Faraday waves. We experimentally demonstrate that phase locking to low amplitude driving can generate persistent high-amplitude growth of nonlinear waves in a ...
B. Christiansen   +11 more
core   +1 more source

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example [PDF]

open access: yes, 2004
We have studied properties of nonlinear waves in a mathematical model of a predator-prey system with pursuit and evasion. We demonstrate a new type of propagating wave in this system. The mechanism of propagation of these waves essentially depends on the
Biktashev, V. N.   +3 more
core   +2 more sources

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