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Conservation laws and exact solutions for the generalized Ostrovsky equation using symmetry analysis
  • Sol Sáez
Sol Sáez
University of Cadiz

Corresponding Author:sol.saez@uca.es

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Abstract

In this work we consider a generalized Ostrovsky equation depending on two arbitrary functions and we make an in-depth study of this equation. We obtain the Lie symmetries which are admitted by this equation and some exact solutions as a periodic or solitary waves, obtained through ordinary and partial differential equations. Also, by means of the concept of multiplier, we obtain a wide range of conservation laws which preserve properties of the generalized Ostrovsky equation.
10 Jul 2021Submitted to Mathematical Methods in the Applied Sciences
11 Jul 2021Submission Checks Completed
11 Jul 2021Assigned to Editor
20 Jul 2021Reviewer(s) Assigned
01 Dec 2021Review(s) Completed, Editorial Evaluation Pending
02 Dec 2021Editorial Decision: Revise Major
19 Jan 20221st Revision Received
20 Jan 2022Submission Checks Completed
20 Jan 2022Assigned to Editor
23 Jan 2022Reviewer(s) Assigned
12 Apr 2022Review(s) Completed, Editorial Evaluation Pending
13 Apr 2022Editorial Decision: Revise Major
15 Mar 20242nd Revision Received
18 Mar 2024Submission Checks Completed
18 Mar 2024Assigned to Editor
18 Mar 2024Review(s) Completed, Editorial Evaluation Pending
28 Mar 2024Reviewer(s) Assigned