Journal
PHYSICA SCRIPTA
Volume 98, Issue 11, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1402-4896/acfb46
Keywords
dissipative solitons; nonlinear wave trains; active particles; modulational instability
Categories
Ask authors/readers for more resources
This paper addresses the existence of modulated nonlinear periodic wave trains in a system of self-propelled particles. The mathematical model used in the study is reduced to a one-dimensional complex Ginzburg-Landau equation. The modulational instability phenomenon and solutions for the model equations are analyzed and discussed.
The paper addresses the existence of modulated nonlinear periodic wave trains in a system of self-propelled particles (SPPs). The reductive perturbation method reduces the model hydrodynamics equations to a one-dimensional (1D) complex Ginzburg-Landau (CGL) equation. The modulational instability (MI) phenomenon is studied, where an expression for the instability growth rate is proposed. The latter is used to discuss regions of parameters where trains of solitonic waves are likely to be obtained. This is highly influenced by the values of the variances of Gaussian noise in self-diffusion and binary collision. Solutions for the CGL equations are also studied via the Porubov technique, using a combination of Jacobi and Weierstrass elliptic functions. Wave propagation in the self-propelled particles flock includes modulated nonlinear wave trains, nonlinear spatially localized periodic patterns, and continuous waves.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available