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Traveling wave solutions for a generalized Ostrovsky equation
Author(s) -
Gandarias M. L.,
Bruzon M. S.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1337
Subject(s) - mathematics , traveling wave , elliptic function , periodic wave , simple (philosophy) , quintic function , ordinary differential equation , mathematical analysis , polynomial , differential equation , nonlinear system , physics , quantum mechanics , philosophy , epistemology
Abstract 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.