Traveling wave solutions for a generalized Ostrovsky equation

In this paper looking for traveling wave solutions, we find that when the polynomial of velocity is quintic the generalized Ostrovsky equation (GOE) has abundant exact solutions that can be expressed in terms of the Jacobi elliptic functions. Hence, the GOE has a plenty of periodic waves, solitary w...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2018-10, Vol.41 (15), p.5840-5850
Main Authors: Gandarias, M. L., Bruzon, M. S.
Format: Article
Language:English
Subjects:
Differential equations
Elliptic functions
exact solutions
Lie symmetries
Mathematical analysis
Ordinary differential equations
Solitary waves
Traveling waves
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Summary:In this paper looking for traveling wave solutions, we find that when the polynomial of velocity is quintic the generalized Ostrovsky equation (GOE) has abundant exact solutions that can be expressed in terms of the Jacobi elliptic functions. Hence, the GOE has a plenty of periodic waves, solitary waves, compactons, etc. These solutions are derived from the solutions of a simple non‐linear ordinary differential equation. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.1337