A General Korteweg-de Vries-Burgers Equation: Novel Ideas and Novel Results

Authors

  • Linghai Zhang

DOI:

https://doi.org/10.12150/jnma.2025.334

Keywords:

General Korteweg-de Vries-Burgers equation, global smooth solution, existence and uniqueness, sharp rate decay estimates, exact limits, optimal decay estimates.

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.

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Published

2025-04-28

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Issue

Vol. 7 No. 1 (2025)

Section

Articles

How to Cite

A General Korteweg-de Vries-Burgers Equation: Novel Ideas and Novel Results. (2025). Journal of Nonlinear Modeling and Analysis, 7(1), 334-382. https://doi.org/10.12150/jnma.2025.334