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

06 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
08 Mar 2021Assigned to Editor
08 Mar 2021Submission Checks Completed
13 Mar 2021Reviewer(s) Assigned