Spatial analyticity of solutions for a coupled system of generalized KdV equations-Reference-Cited by-同舟云学术

Spatial analyticity of solutions for a coupled system of generalized KdV equations

Published:2024-04-19 Issue:12 Volume:47 Page:10351-10372
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Atmani A.¹,Boukarou A.²,Benterki D.¹,Zennir K.³⁴^ORCID

Affiliation:

1. Mathematical Analysis and Applications Laboratory, Department of Mathematics University Mohamed El Bachir El Ibrahimi Bordj Bou Arreridj Algeria

2. Dynamic Systems Laboratory, Department of Mathematics University of Science and Technology Houari Boumediene Bab Ezzouar Algeria

3. Department of Mathematics, College of Science Qassim University Buraidah Saudi Arabia

4. Department of Mathematics, Faculty of Sciences University 20 Aout 1955 Skikda Algeria

Abstract

We consider the well‐posedness of a coupled system for generalized Korteweg–de Vries (S‐gKdV) where and the initial data are analytic in a strip and then the solutions of S‐gKdV continue to be analytic in a strip the width of which will decrease as time goes to , by using the standard contraction method in analytic Bourgain space. Besides, we obtain algebraic lower bounds on the decreasing rate of the uniform radius of analyticity of the solutions.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10126

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