Exact periodic, cusp, solitary and loop wave solutions of the EX-ROE

DOI10.1080/00207160.2011.559228zbMath1238.35121OpenAlexW2051744295MaRDI QIDQ2885513

Shaolong Xie, Jionghui Cai

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.559228

zbMATH Keywords

solitary waveperiodic waveperiodic loop wavesolitary loop waveextended reduced Ostrovsky equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Soliton solutions (35C08)

Cites Work

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• Explicit solutions of the reduced Ostrovsky equation
• Symbolic computation of exact solutions for a nonlinear evolution equation
• Solitons in a nonlinear model medium
• The stability of solutions of Vakhnenko's equation
• Hydrodynamic Foundation and Painlevé Analysis of Hirota-Satsuma-Type Equations
• High-frequency soliton-like waves in a relaxing medium
• Ostrovsky and Hunter's generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves)

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