Simplified linearized KdV equation and application to KdV equation

Authors

  • Yassine Benia Department of Mathematics, Laboratory of Mathematical Analysis and Applications, \\University of Algiers
  • Boubaker-Khaled Sadallah Department of Mathematics, Lab. E.D.P.N.L., E.N.S. \\ Kouba, B.P 92, Vieux Kouba, 16050, Algiers, Algeria

Abstract

We study the linear Korteweg-de Vries equation $\partial_{t}v(t,x)+\partial_x^{3}v(t,x)=g(t,x)$ subject to boundary conditions. The given functions $g$ and itsderivative with respect to $t$ in this equation are in Lebesgue space $L^2$. Our goal isto establish the existence, t  

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Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Yassine Benia, Boubaker-Khaled Sadallah

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Simplified linearized KdV equation and application to KdV equation. (2025). Nonlinear Studies, 32(2), 463-476. https://nonlinearstudies.com/index.php/nonlinear/article/view/3766