Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation

DOI10.1016/j.cnsns.2009.02.001zbMath1221.35378OpenAlexW1998802140MaRDI QIDQ717990

Jionghui Cai, Shaolong Xie

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.02.001

zbMATH Keywords

heteroclinic orbitscompactonsopen orbitsgeneralized kink wavesextended reduced Ostrovsky equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (7)

Exact periodic, cusp, solitary and loop wave solutions of the EX-ROE ⋮ New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations ⋮ The periodic traveling-wave solutions of the short-pulse equation ⋮ Periodic and solitary travelling-wave solutions of a CH-DP equation ⋮ Explicit and implicit solutions of a generalized Camassa-Holm Kadomtsev-Petviashvili equation ⋮ Two types of bounded traveling-wave solutions of a two-component Camassa-Holm equation ⋮ Analytical and multishaped solitary wave solutions for extended reduced Ostrovsky equation

Uses Software

• Maple

Cites Work

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• Compactons: Solitons with finite wavelength
• NEW BOUNDED TRAVELING WAVES OF CAMASSA–HOLM EQUATION
• 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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