A new ZK–BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property

2017 ◽  
Vol 91 (3) ◽  
pp. 2019-2032 ◽  
Author(s):  
Hong Wei Yang ◽  
Xin Chen ◽  
Min Guo ◽  
Yao Deng Chen
Keyword(s):  
Solitary Waves ◽  
Three Dimensional ◽  
Rossby Solitary Waves ◽  
Bo Equation

scholarly journals ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Hong Wei Yang ◽  
Zhen Hua Xu ◽  
De Zhou Yang ◽  
Xing Ru Feng ◽  
Bao Shu Yin ◽  
...  
Keyword(s):  
Solitary Waves ◽  
Burgers Equation ◽  
Three Dimensional ◽  
Rossby Solitary Waves

Stability and instability of some nonlinear dispersive solitary waves in higher dimension

1996 ◽  
Vol 126 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Anne de Bouard
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Three Dimensional ◽  
Higher Dimension ◽  
Ion Acoustic Waves ◽  
Stability And Instability ◽  
Ion Acoustic ◽  
De Vries ◽  
The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

Rossby solitary waves excited by the unstable topography in weak shear flow

2017 ◽  
Vol 90 (2) ◽  
pp. 889-897 ◽  
Author(s):  
Bao-Jun Zhao ◽  
Ru-Yun Wang ◽  
Qing Fang ◽  
Wen-Jin Sun ◽  
Tian-Ming Zhan
Keyword(s):  
Shear Flow ◽  
Solitary Waves ◽  
Rossby Solitary Waves

Three‐dimensional dark spatial solitary waves

1991 ◽  
Vol 70 (10) ◽  
pp. 5694-5696 ◽  
Author(s):  
Yijiang Chen
Keyword(s):  
Solitary Waves ◽  
Three Dimensional

scholarly journals (2 + 1)-Dimensional Coupled Model for Envelope Rossby Solitary Waves and Its Solutions as well as Chirp Effect

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Xin Chen ◽  
Hongwei Yang ◽  
Min Guo ◽  
Baoshu Yin
Keyword(s):  
Solitary Waves ◽  
Rossby Waves ◽  
Modulation Instability ◽  
Multiple Scales ◽  
Coupled Model ◽  
Nls Equation ◽  
Coupled Models ◽  
Trial Function Method ◽  
Rossby Solitary Waves ◽  
Stable Feature

Using the method of multiple scales and perturbation method, a set of coupled models describing the envelope Rossby solitary waves in (2+1)-dimensional condition are obtained, also can be called coupled NLS (CNLS) equations. Following this, based on trial function method, the solutions of the NLS equation are deduced. Moreover, the modulation instability of coupled envelope Rossby waves is studied. We can find that the stable feature of coupled envelope Rossby waves is decided by the value of S. Finally, learning from the concept of chirp in the optical soliton communication field, we study the chirp effect caused by nonlinearity and dispersion in the propagation of Rossby waves.

Ion-acoustic waves in a degenerate multicomponent magnetoplasma

2012 ◽  
Vol 79 (2) ◽  
pp. 163-168 ◽  
Author(s):  
U. M. ABDELSALAM ◽  
M. M. SELIM
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Negative Ions ◽  
Expansion Method ◽  
Reductive Perturbation Method ◽  
Negative Ion ◽  
Zk Equation ◽  
Ion Acoustic ◽  
Astrophysical Objects

AbstractThe hydrodynamic equations of positive and negative ions, degenerate electrons, and the Poisson equation are used along with the reductive perturbation method to derive the three-dimensional Zakharov–Kuznetsov (ZK) equation. The G′/G-expansion method is used to obtain a new class of solutions for the ZK equation. At certain condition, these solutions can describe the solitary waves that propagate in our plasma. The effects of negative ion concentrations, the positive/negative ion cyclotron frequency, as well as positive-to-negative ion mass ratio on solitary pulses are examined. Finally, the present study might be helpful to understand the propagation of nonlinear ion-acoustic solitary waves in a dense plasma, such as in astrophysical objects.

scholarly journals Three-dimensional Gross–Pitaevskii solitary waves in optical lattices: Stabilization using the artificial quartic kinetic energy induced by lattice shaking

2016 ◽  
Vol 380 (1-2) ◽  
pp. 177-181 ◽  
Author(s):  
M. Olshanii ◽  
S. Choi ◽  
V. Dunjko ◽  
A.E. Feiguin ◽  
H. Perrin ◽  
...  
Keyword(s):  
Kinetic Energy ◽  
Solitary Waves ◽  
Optical Lattices ◽  
Three Dimensional

scholarly journals Dynamics of gravity–capillary solitary waves in deep water

2012 ◽  
Vol 708 ◽  
pp. 480-501 ◽  
Author(s):  
Zhan Wang ◽  
Paul A. Milewski
Keyword(s):  
Solitary Waves ◽  
Water Waves ◽  
Periodic Structures ◽  
Time Integration ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Full Potential ◽  
Numerical Time Integration ◽  
The Stability ◽  
Nonlinear Focusing

AbstractThe dynamics of solitary gravity–capillary water waves propagating on the surface of a three-dimensional fluid domain is studied numerically. In order to accurately compute complex time-dependent solutions, we simplify the full potential flow problem by using surface variables and taking a particular cubic truncation possessing a Hamiltonian with desirable properties. This approximation agrees remarkably well with the full equations for the bifurcation curves, wave profiles and the dynamics of solitary waves for a two-dimensional fluid domain, and with higher-order truncations in three dimensions. Fully localized solitary waves are then computed in the three-dimensional problem and the stability and interaction of both line and localized solitary waves are investigated via numerical time integration of the equations. There are many solitary wave branches, indexed by their finite energy as their amplitude tends to zero. The dynamics of the solitary waves is complex, involving nonlinear focusing of wavepackets, quasi-elastic collisions, and the generation of propagating, spatially localized, time-periodic structures akin to breathers.

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