Twenty-five years of dissipative solitons

• Published in: AIP conference proceedings Vol. 2522; no. 1
• Main Authors: Christov, I. C., Yu, Zongxin
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 26.09.2022
• Subjects: Dissipation; Ferrofluids; Mathematical models; Nonlinear dynamics; Nonlinearity; Parallel flow; Solitary waves; Thin films; Traveling waves

In 1995, C. I. Christov and M. G. Velarde introduced the concept of a dissipative soliton in a long-wave thin-film equation [Physica D 86, 323–347]. In the 25 years since, the subject has blossomed to include many related phenomena. The focus of this short note is to survey the conceptual influence...