AUTHOREA
Log in Sign Up Browse Preprints

loading page

A Nonhomogeneous Boundary-Valued Problem for the coupled KDV system
  • Yitong Pei,
  • Boling Guo
Yitong Pei
Institute of Applied Physics and Computational Mathematics

Corresponding Author:[email protected]

Author Profile
Boling Guo
Institute of Applied Physics and Computational Mathematics
Author Profile

Abstract

In this paper, we study the initial-boundary-value problem (IBVP) for coupled Korteweg-de Vries equations posed on a finite interval with nonhomogeneous boundary conditions. We overcome the requirement for stronger smooth boundary conditions in the traditional method via the Laplace transform. Our approach uses the strong Kato smoothing property and the contraction mapping principle.

Peer review status:ACCEPTED

06 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
Show details
Hide details
08 Mar 2021Submission Checks Completed
08 Mar 2021Assigned to Editor
13 Mar 2021Reviewer(s) Assigned
14 Jul 2021Review(s) Completed, Editorial Evaluation Pending
16 Jul 2021Editorial Decision: Revise Minor
29 Aug 20211st Revision Received
29 Aug 2021Submission Checks Completed
29 Aug 2021Assigned to Editor
30 Aug 2021Reviewer(s) Assigned
22 Oct 2021Review(s) Completed, Editorial Evaluation Pending
03 Dec 2021Editorial Decision: Accept