TY - JOUR
T1 - A General Korteweg-de Vries-Burgers Equation: Novel Ideas and Novel Results
AU - Zhang , Linghai
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 334
EP - 382
PY - 2025
DA - 2025/02
SN - 7
DO - http://doi.org/10.12150/jnma.2025.334
UR - https://global-sci.org/intro/article_detail/jnma/23829.html
KW - General Korteweg-de Vries-Burgers equation, global smooth solution, existence and uniqueness, sharp rate decay estimates, exact limits,
optimal decay estimates.
AB - <p style="text-align: justify;">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.</p>