Tootfinder

This https://arxiv.org/abs/2305.00516 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Dissipative Soliton Resonance: Adiabatic Theory and Thermodynamics
We present the adiabatic theory of dissipative solitons (DS) of complex cubic-quintic nonlinear Ginzburg-Landau equation (CQGLE). Solutions in the closed analytical form in the spectral domain have the shape of Rayleigh-Jeans distribution for a positive (normal) dispersion. The DS parametric space forms a two-dimensional (or three-dimensional for the complex quintic nonlinearity) master diagram connecting the DS energy and a universal parameter formed by the ratio of four real and imaginary coe…

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LMAO My mom was (in)famous for yelling at people who stopped at Yield signs:
“It says “Yield” not “Surrender”!”
Embarrassed the hell out of us as kids. As an adult, I yell it just like she did! 🤣 https://mstdn.social/@nayele18maybe/112050269859280141

This https://arxiv.org/abs/2403.12444 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces
Pattern dynamics on curved surfaces are ubiquitous. Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics. Recently, we reported that a static pattern on a flat plane can become a propagating pattern on a curved surface [Nishide and Ishihara, Phys. Rev. Lett. 2022]. By examining reaction-diffusion equations on axisymmetric surfaces, certain conditions for the onse…

This https://arxiv.org/abs/2309.09001 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Bright traveling breathers in media with long-range, nonconvex dispersion
The existence and properties of envelope solitary waves on a periodic, traveling wave background, called traveling breathers, are investigated numerically in representative nonlocal dispersive media. Using a fixed point computational scheme, a space-time boundary value problem for bright traveling breather solutions is solved for the weakly nonlinear Benjamin-Bona-Mahony equation, a nonlocal, regularized shallow water wave model, and the strongly nonlinear conduit equation, a nonlocal model of …

This https://arxiv.org/abs/2401.05261 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

On the kinks, the solitons and the shocks in discrete nonlinear transmission line
We studied lossless discrete transmission lines constructed from ideal linear inductors and nonlinear capacitors. The travelling waves with finite support in such systems are the kinks and the solitons, which speeds and profiles were calculated. We also studied lossy transmission lines. The travelling waves with finite support in such systems are the dissipative kinks and the shocks, which speeds and profiles were also calculated.

[2024-03-27 Wed (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]

[2024-03-26 Tue (UTC), 2 new articles found for nlin.PS Pattern Formation and Solitons]

[2024-04-26 Fri (UTC), 3 new articles found for nlin.PS Pattern Formation and Solitons]

[2024-02-26 Mon (UTC), no new articles found for nlin.PS Pattern Formation and Solitons]