A General Korteweg-de Vries-Burgers Equation: Novel Ideas and Novel Results
Year: 2025
Author: Linghai Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 334–382
Abstract
We consider the Cauchy problem for a general Korteweg-de Vries-Burgers equation and the Cauchy problem for the corresponding linear equation. We will couple together a few novel ideas, several existing ideas and existing results and use rigorous mathematical analysis to accomplish several very important and very interesting results for these Cauchy problems.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.334
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 334–382
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 49
Keywords: General Korteweg-de Vries-Burgers equation global smooth solution existence and uniqueness sharp rate decay estimates exact limits optimal decay estimates.
Author Details
Linghai Zhang Email