scholarly journals Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity

2019 ◽  
Vol 277 (12) ◽  
pp. 108289
Author(s):  
Nabile Boussaïd ◽  
Andrew Comech
Keyword(s):  
Dirac Equation ◽  
Solitary Waves ◽  
Small Amplitude ◽  
Spectral Stability

scholarly journals Solitary waves in the nonlinear Dirac equation in the presence of external driving forces

2016 ◽  
Vol 49 (6) ◽  
pp. 065402 ◽  
Author(s):  
Franz G Mertens ◽  
Fred Cooper ◽  
Niurka R Quintero ◽  
Sihong Shao ◽  
Avinash Khare ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Solitary Waves ◽  
Driving Forces ◽  
Nonlinear Dirac Equation ◽  
External Driving

Small amplitude nonlinear electron acoustic solitary waves in weakly magnetized plasma

2013 ◽  
Vol 20 (1) ◽  
pp. 012113 ◽  
Author(s):  
Manjistha Dutta ◽  
Samiran Ghosh ◽  
Rajkumar Roychoudhury ◽  
Manoranjan Khan ◽  
Nikhil Chakrabarti
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Magnetized Plasma ◽  
Electron Acoustic

scholarly journals On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Dali Guo ◽  
Bo Tao ◽  
Xiaohui Zeng
Keyword(s):  
Solitary Waves ◽  
Gravity Waves ◽  
Small Amplitude ◽  
Numerical Study ◽  
Two Dimensional ◽  
Shear Current ◽  
Linear Shear ◽  
The Stability ◽  
Depression Wave ◽  
Elevation Wave

The numerical study of the dynamics of two-dimensional capillary-gravity solitary waves on a linear shear current is presented in this paper. The numerical method is based on the time-dependent conformal mapping. The stability of different kinds of solitary waves is considered. Both depression wave and large amplitude elevation wave are found to be stable, while small amplitude elevation wave is unstable to the small perturbation, and it finally evolves to be a depression wave with tails, which is similar to the irrotational capillary-gravity waves.

scholarly journals On spectral stability of the nonlinear Dirac equation

2016 ◽  
Vol 271 (6) ◽  
pp. 1462-1524 ◽  
Author(s):  
Nabile Boussaïd ◽  
Andrew Comech
Keyword(s):  
Dirac Equation ◽  
Spectral Stability ◽  
Nonlinear Dirac Equation

PROPAGATION OF SOLITARY WAVES ON LOSSY NONLINEAR TRANSMISSION LINES

2009 ◽  
Vol 23 (01) ◽  
pp. 1-18 ◽  
Author(s):  
E. KENGNE ◽  
R. VAILLANCOURT
Keyword(s):  
Solitary Waves ◽  
Transmission Lines ◽  
Small Amplitude ◽  
Reductive Perturbation Method ◽  
Ginzburg Landau ◽  
Nonlinear Transmission Lines ◽  
Nonlinear Transmission ◽  
Long Wavelength ◽  
Reductive Perturbation ◽  
Ginzburg Landau Equations

We present a lossy nonlinear transmission RLC line and show how the coupled Ginzburg–Landau equations can be derived in the small amplitude and long wavelength limit using a standard reductive perturbation method and complex expansion. Soliton-like solution of the simplified equation was searched and the instability of a class of phase-winding solutions was explored.

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