Rogue heat and diffusion waves

Bayındır C.

CHAOS SOLITONS & FRACTALS, vol.139, 2020 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 139
  • Publication Date: 2020
  • Doi Number: 10.1016/j.chaos.2020.110047
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Keywords: Rogue heat waves, Rogue diffusion waves, Nonlinear heat and diffusion equations, Modulation instability, POROUS-MEDIUM EQUATION, ASYMPTOTIC-BEHAVIOR
  • Istanbul Technical University Affiliated: No


In this paper, we numerically show and discuss the existence and characteristics of rogue heat and diffusion waves. More specifically, we use two different nonlinear heat (diffusion) models and show that modulation instability leads to the generation of unexpected and large fluctuations in the frame of these models. These fluctuations can be named as rogue heat (diffusion) waves. We discuss the properties and statistics of such rogue waves. Our results can find many important applications in many branches such as the nonlinear heat transfer, turbulence, financial mathematics, chemical or biological diffusion, nuclear reactions, subsurface water infiltration, and pore water pressure diffusion modeled in the frame of nonlinear Terzaghi consolidation models, just to name a few. (C) 2020 Elsevier Ltd. All rights reserved.